Derivative function：
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Current location：Derivative function > Derivative function calculation history > Answer
There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ sin(cos(x)tan(x))({x}^{2} + x + 1){x}^{51}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{53}sin(cos(x)tan(x)) + x^{52}sin(cos(x)tan(x)) + x^{51}sin(cos(x)tan(x))\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{53}sin(cos(x)tan(x)) + x^{52}sin(cos(x)tan(x)) + x^{51}sin(cos(x)tan(x))\right)}{dx}\\=&53x^{52}sin(cos(x)tan(x)) + x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 52x^{51}sin(cos(x)tan(x)) + x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 51x^{50}sin(cos(x)tan(x)) + x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))\\=&-x^{53}sin(x)cos(cos(x)tan(x))tan(x) - x^{52}sin(x)cos(cos(x)tan(x))tan(x) + x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{51}sin(x)cos(cos(x)tan(x))tan(x) + 53x^{52}sin(cos(x)tan(x)) + x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 51x^{50}sin(cos(x)tan(x)) + 52x^{51}sin(cos(x)tan(x)) + x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -x^{53}sin(x)cos(cos(x)tan(x))tan(x) - x^{52}sin(x)cos(cos(x)tan(x))tan(x) + x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{51}sin(x)cos(cos(x)tan(x))tan(x) + 53x^{52}sin(cos(x)tan(x)) + x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 51x^{50}sin(cos(x)tan(x)) + 52x^{51}sin(cos(x)tan(x)) + x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)\right)}{dx}\\=&-53x^{52}sin(x)cos(cos(x)tan(x))tan(x) - x^{53}cos(x)cos(cos(x)tan(x))tan(x) - x^{53}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 52x^{51}sin(x)cos(cos(x)tan(x))tan(x) - x^{52}cos(x)cos(cos(x)tan(x))tan(x) - x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 53x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + x^{53}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + x^{53}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + x^{53}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 51x^{50}sin(x)cos(cos(x)tan(x))tan(x) - x^{51}cos(x)cos(cos(x)tan(x))tan(x) - x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 53*52x^{51}sin(cos(x)tan(x)) + 53x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 52x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) + x^{52}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + x^{52}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 51*50x^{49}sin(cos(x)tan(x)) + 51x^{50}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 52*51x^{50}sin(cos(x)tan(x)) + 52x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 51x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + x^{51}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + x^{51}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x)\\=&-106x^{52}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{53}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - x^{53}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 104x^{51}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 106x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + 2x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 102x^{50}sin(x)cos(cos(x)tan(x))tan(x) - x^{51}cos(x)cos(cos(x)tan(x))tan(x) - x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) - x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + 104x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - x^{52}cos(x)cos(cos(x)tan(x))tan(x) + 2550x^{49}sin(cos(x)tan(x)) + 102x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 2652x^{50}sin(cos(x)tan(x)) + 2756x^{51}sin(cos(x)tan(x)) - x^{53}cos(x)cos(cos(x)tan(x))tan(x)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( -106x^{52}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{53}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - x^{53}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 104x^{51}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 106x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + 2x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 102x^{50}sin(x)cos(cos(x)tan(x))tan(x) - x^{51}cos(x)cos(cos(x)tan(x))tan(x) - x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) - x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + 104x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - x^{52}cos(x)cos(cos(x)tan(x))tan(x) + 2550x^{49}sin(cos(x)tan(x)) + 102x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 2652x^{50}sin(cos(x)tan(x)) + 2756x^{51}sin(cos(x)tan(x)) - x^{53}cos(x)cos(cos(x)tan(x))tan(x)\right)}{dx}\\=&-106*52x^{51}sin(x)cos(cos(x)tan(x))tan(x) - 106x^{52}cos(x)cos(cos(x)tan(x))tan(x) - 106x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 106x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 2*53x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{53}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{53}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 2x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 2x^{53}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 53x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - x^{53}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - x^{53}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) + 2*53x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{53}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{53}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 2x^{53}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 2x^{53}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 2x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 2*53x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{53}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 2x^{53}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 104*51x^{50}sin(x)cos(cos(x)tan(x))tan(x) - 104x^{51}cos(x)cos(cos(x)tan(x))tan(x) - 104x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 104x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 2*52x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{52}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 2x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 2x^{52}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 52x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - x^{52}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - x^{52}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) + 2*52x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{52}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{52}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 2x^{52}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 2x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 2x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 2*52x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 2x^{52}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 106*52x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 106x^{52}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 106x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 106x^{52}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 53x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - x^{53}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - x^{53}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) + 2*51x^{50}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{51}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 2x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 2x^{51}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 102*50x^{49}sin(x)cos(cos(x)tan(x))tan(x) - 102x^{50}cos(x)cos(cos(x)tan(x))tan(x) - 102x^{50}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 102x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 51x^{50}cos(x)cos(cos(x)tan(x))tan(x) - x^{51}*-sin(x)cos(cos(x)tan(x))tan(x) - x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 51x^{50}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - x^{51}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - x^{51}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) + 2*51x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{51}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{51}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 2x^{51}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 2x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 2x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 2*51x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 2x^{51}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 52x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - x^{52}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - x^{52}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) + 104*51x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 104x^{51}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 104x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 104x^{51}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 51x^{50}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - x^{51}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - x^{51}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) - 52x^{51}cos(x)cos(cos(x)tan(x))tan(x) - x^{52}*-sin(x)cos(cos(x)tan(x))tan(x) - x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 2550*49x^{48}sin(cos(x)tan(x)) + 2550x^{49}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 102*50x^{49}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 102x^{50}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 102x^{50}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 102x^{50}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 2652*50x^{49}sin(cos(x)tan(x)) + 2652x^{50}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 2756*51x^{50}sin(cos(x)tan(x)) + 2756x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) - 53x^{52}cos(x)cos(cos(x)tan(x))tan(x) - x^{53}*-sin(x)cos(cos(x)tan(x))tan(x) - x^{53}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)\\=&-6x^{53}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 318x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 4x^{53}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 318x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 318x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 312x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 6x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 3x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 2x^{53}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 6x^{52}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 3x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 2x^{53}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 2x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 4x^{52}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 2x^{53}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 6x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 2x^{52}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 3x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 306x^{50}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{52}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 312x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 312x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 4x^{52}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 6x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{51}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{51}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{51}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 3x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) - 3x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 4x^{51}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) - 7956x^{50}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 2x^{51}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{52}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 306x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 4x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 8266x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 159x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{53}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - x^{53}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) - 156x^{51}cos(x)cos(cos(x)tan(x))tan(x) - 8267x^{51}sin(x)cos(cos(x)tan(x))tan(x) + x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 2x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 159x^{52}cos(x)cos(cos(x)tan(x))tan(x) - 7650x^{49}sin(x)cos(cos(x)tan(x))tan(x) - 153x^{50}cos(x)cos(cos(x)tan(x))tan(x) - 153x^{50}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 3x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 306x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 3x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + x^{52}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - x^{51}cos(cos(x)tan(x))cos(x)sec^{2}(x) + x^{51}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - 3x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 159x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) - 3x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + 4x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - x^{52}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + 7956x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 153x^{50}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - x^{51}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + x^{52}sin(x)cos(cos(x)tan(x))tan(x) - x^{52}cos(cos(x)tan(x))cos(x)sec^{2}(x) + x^{53}sin(x)cos(cos(x)tan(x))tan(x) + 7650x^{49}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 132600x^{49}sin(cos(x)tan(x)) + 140556x^{50}sin(cos(x)tan(x)) + 124950x^{48}sin(cos(x)tan(x)) - x^{53}cos(cos(x)tan(x))cos(x)sec^{2}(x)\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( -6x^{53}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 318x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 4x^{53}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 318x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 318x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 312x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 6x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 3x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 2x^{53}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 6x^{52}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 3x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 2x^{53}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 2x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 4x^{52}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 2x^{53}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 6x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 2x^{52}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 3x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 306x^{50}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{52}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 312x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 312x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 4x^{52}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 6x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{51}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{51}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{51}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 3x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) - 3x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 4x^{51}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) - 7956x^{50}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 2x^{51}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{52}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 306x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 4x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 8266x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 159x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{53}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - x^{53}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) - 156x^{51}cos(x)cos(cos(x)tan(x))tan(x) - 8267x^{51}sin(x)cos(cos(x)tan(x))tan(x) + x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 2x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 159x^{52}cos(x)cos(cos(x)tan(x))tan(x) - 7650x^{49}sin(x)cos(cos(x)tan(x))tan(x) - 153x^{50}cos(x)cos(cos(x)tan(x))tan(x) - 153x^{50}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 3x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 306x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 3x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + x^{52}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - x^{51}cos(cos(x)tan(x))cos(x)sec^{2}(x) + x^{51}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - 3x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 159x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) - 3x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + 4x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - x^{52}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + 7956x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 153x^{50}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - x^{51}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + x^{52}sin(x)cos(cos(x)tan(x))tan(x) - x^{52}cos(cos(x)tan(x))cos(x)sec^{2}(x) + x^{53}sin(x)cos(cos(x)tan(x))tan(x) + 7650x^{49}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 132600x^{49}sin(cos(x)tan(x)) + 140556x^{50}sin(cos(x)tan(x)) + 124950x^{48}sin(cos(x)tan(x)) - x^{53}cos(cos(x)tan(x))cos(x)sec^{2}(x)\right)}{dx}\\=&-6*53x^{52}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{53}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{53}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 6x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 6x^{53}sin(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) + 318*52x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 318x^{52}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 318x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 318x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 318x^{52}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 4*53x^{52}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{53}sin(cos(x)tan(x))*2sin(x)cos(x)tan(x)sec^{2}(x) - 4x^{53}sin(cos(x)tan(x))sin^{2}(x)sec^{2}(x)(1)sec^{2}(x) - 4x^{53}sin(cos(x)tan(x))sin^{2}(x)tan(x)*2sec^{2}(x)tan(x) + 318*52x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 318x^{52}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 318x^{52}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 318x^{52}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 318x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 318x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 318*52x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 318x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 318x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 318x^{52}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 312*51x^{50}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 312x^{51}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 312x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 312x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 312x^{51}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 6*53x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{53}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) - 6x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) - 6x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) + 6*53x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{53}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{53}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{53}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) + 6x^{53}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 6x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) + 3*53x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{53}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{2}(x) + 3x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{2}(x) + 3x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)*2sec^{2}(x)tan(x) + 2*53x^{52}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 2x^{53}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 2x^{53}cos(cos(x)tan(x))*-sin(x)sec^{4}(x) + 2x^{53}cos(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) + 4*53x^{52}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{53}*-sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{53}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{2}(x)sec^{2}(x) + 4x^{53}cos(x)cos(cos(x)tan(x))*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 4x^{53}cos(x)cos(cos(x)tan(x))tan^{2}(x)*2sec^{2}(x)tan(x) - 6*52x^{51}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 6x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 6x^{52}sin(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 3*53x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{53}*2sin(x)cos(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{53}sin^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{53}sin^{2}(x)cos(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) - 3x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) - 3x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) - 2*53x^{52}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{53}*2sin(x)cos(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{53}sin^{2}(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 2x^{53}sin^{2}(x)sin(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 2x^{53}sin^{2}(x)sin(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 6*52x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{52}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) - 6x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) - 6x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) + 2*53x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{53}cos(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{53}sin(x)*-2cos(x)sin(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{53}sin(x)cos^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{4}(x) + 2x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{4}(x) + 2x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)*4sec^{4}(x)tan(x) - 4*52x^{51}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{52}sin(cos(x)tan(x))*2sin(x)cos(x)tan(x)sec^{2}(x) - 4x^{52}sin(cos(x)tan(x))sin^{2}(x)sec^{2}(x)(1)sec^{2}(x) - 4x^{52}sin(cos(x)tan(x))sin^{2}(x)tan(x)*2sec^{2}(x)tan(x) + 2*53x^{52}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 2x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin(x)cos(x)sec^{4}(x) + 2x^{53}sin(cos(x)tan(x))cos(x)cos(x)sec^{4}(x) + 2x^{53}sin(cos(x)tan(x))sin(x)*-sin(x)sec^{4}(x) + 2x^{53}sin(cos(x)tan(x))sin(x)cos(x)*4sec^{4}(x)tan(x) + 6*52x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{52}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{52}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{52}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) + 6x^{52}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 6x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) + 2*52x^{51}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 2x^{52}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 2x^{52}cos(cos(x)tan(x))*-sin(x)sec^{4}(x) + 2x^{52}cos(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) + 4*53x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}cos(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 4x^{53}sin(x)sin(cos(x)tan(x))*-sin(x)sec^{4}(x) + 4x^{53}sin(x)sin(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) + 3*52x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{52}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{2}(x) + 3x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{2}(x) + 3x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)*2sec^{2}(x)tan(x) + 306*50x^{49}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 306x^{50}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 306x^{50}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 306x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 306x^{50}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 2*52x^{51}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{52}*2sin(x)cos(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{52}sin^{2}(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 2x^{52}sin^{2}(x)sin(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 2x^{52}sin^{2}(x)sin(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) + 312*51x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 312x^{51}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 312x^{51}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 312x^{51}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 312x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 312x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 312*51x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 312x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 312x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 312x^{51}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 4*52x^{51}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{52}*-sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{2}(x)sec^{2}(x) + 4x^{52}cos(x)cos(cos(x)tan(x))*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 4x^{52}cos(x)cos(cos(x)tan(x))tan^{2}(x)*2sec^{2}(x)tan(x) - 6*51x^{50}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{51}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) - 6x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) - 6x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) - 6*51x^{50}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 6x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 6x^{51}sin(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) + 2*51x^{50}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 2x^{51}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 2x^{51}cos(cos(x)tan(x))*-sin(x)sec^{4}(x) + 2x^{51}cos(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) + 4*51x^{50}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{51}*-sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{2}(x)sec^{2}(x) + 4x^{51}cos(x)cos(cos(x)tan(x))*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 4x^{51}cos(x)cos(cos(x)tan(x))tan^{2}(x)*2sec^{2}(x)tan(x) + 3*51x^{50}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{51}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{2}(x) + 3x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{2}(x) + 3x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)*2sec^{2}(x)tan(x) - 3*52x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{52}*2sin(x)cos(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{52}sin^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{52}sin^{2}(x)cos(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) - 3x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) - 3x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) + 6*51x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{51}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{51}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{51}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) + 6x^{51}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 6x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) - 4*51x^{50}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{51}sin(cos(x)tan(x))*2sin(x)cos(x)tan(x)sec^{2}(x) - 4x^{51}sin(cos(x)tan(x))sin^{2}(x)sec^{2}(x)(1)sec^{2}(x) - 4x^{51}sin(cos(x)tan(x))sin^{2}(x)tan(x)*2sec^{2}(x)tan(x) - 7956*50x^{49}sin(x)cos(cos(x)tan(x))tan(x) - 7956x^{50}cos(x)cos(cos(x)tan(x))tan(x) - 7956x^{50}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 7956x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 2*52x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{52}cos(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{52}sin(x)*-2cos(x)sin(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{52}sin(x)cos^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{4}(x) + 2x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{4}(x) + 2x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)*4sec^{4}(x)tan(x) - 2*51x^{50}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{51}*2sin(x)cos(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{51}sin^{2}(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 2x^{51}sin^{2}(x)sin(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 2x^{51}sin^{2}(x)sin(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) + 2*52x^{51}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 2x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin(x)cos(x)sec^{4}(x) + 2x^{52}sin(cos(x)tan(x))cos(x)cos(x)sec^{4}(x) + 2x^{52}sin(cos(x)tan(x))sin(x)*-sin(x)sec^{4}(x) + 2x^{52}sin(cos(x)tan(x))sin(x)cos(x)*4sec^{4}(x)tan(x) + 306*50x^{49}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 306x^{50}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 306x^{50}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 306x^{50}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 306x^{50}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 306x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 2*52x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{52}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 2x^{52}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 4*52x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{52}cos(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{52}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 4x^{52}sin(x)sin(cos(x)tan(x))*-sin(x)sec^{4}(x) + 4x^{52}sin(x)sin(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) + 8266*51x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 8266x^{51}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 8266x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 8266x^{51}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 159*52x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 159x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - 159x^{52}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - 159x^{52}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) + 53x^{52}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) + x^{53}*3sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) + x^{53}sin^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{3}(x) + x^{53}sin^{3}(x)cos(cos(x)tan(x))*3tan^{2}(x)sec^{2}(x)(1) - 53x^{52}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) - x^{53}*-3cos^{2}(x)sin(x)cos(cos(x)tan(x))sec^{6}(x) - x^{53}cos^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{6}(x) - x^{53}cos^{3}(x)cos(cos(x)tan(x))*6sec^{6}(x)tan(x) - 156*51x^{50}cos(x)cos(cos(x)tan(x))tan(x) - 156x^{51}*-sin(x)cos(cos(x)tan(x))tan(x) - 156x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 156x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 8267*51x^{50}sin(x)cos(cos(x)tan(x))tan(x) - 8267x^{51}cos(x)cos(cos(x)tan(x))tan(x) - 8267x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 8267x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 53x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{53}cos(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{53}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) + x^{53}sin(x)cos(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) + x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) + x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) - 2*53x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{53}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{53}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 2x^{53}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 159*52x^{51}cos(x)cos(cos(x)tan(x))tan(x) - 159x^{52}*-sin(x)cos(cos(x)tan(x))tan(x) - 159x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 159x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 7650*49x^{48}sin(x)cos(cos(x)tan(x))tan(x) - 7650x^{49}cos(x)cos(cos(x)tan(x))tan(x) - 7650x^{49}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 7650x^{49}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 153*50x^{49}cos(x)cos(cos(x)tan(x))tan(x) - 153x^{50}*-sin(x)cos(cos(x)tan(x))tan(x) - 153x^{50}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 153x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 153*50x^{49}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 153x^{50}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - 153x^{50}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - 153x^{50}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) - 3*53x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{53}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{53}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x) - 3x^{53}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x) - 3x^{53}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1) - 306*50x^{49}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 306x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 306x^{50}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 306x^{50}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 3*51x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{51}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{51}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x) - 3x^{51}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x) - 3x^{51}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1) + 52x^{51}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) + x^{52}*3sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) + x^{52}sin^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{3}(x) + x^{52}sin^{3}(x)cos(cos(x)tan(x))*3tan^{2}(x)sec^{2}(x)(1) - 51x^{50}cos(cos(x)tan(x))cos(x)sec^{2}(x) - x^{51}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{2}(x) - x^{51}cos(cos(x)tan(x))*-sin(x)sec^{2}(x) - x^{51}cos(cos(x)tan(x))cos(x)*2sec^{2}(x)tan(x) + 51x^{50}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) + x^{51}*3sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) + x^{51}sin^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{3}(x) + x^{51}sin^{3}(x)cos(cos(x)tan(x))*3tan^{2}(x)sec^{2}(x)(1) - 3*51x^{50}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{51}*2sin(x)cos(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{51}sin^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{51}sin^{2}(x)cos(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) - 3x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) - 3x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) - 159*52x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 159x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - 159x^{52}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - 159x^{52}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) + 2*51x^{50}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{51}cos(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{51}sin(x)*-2cos(x)sin(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{51}sin(x)cos^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{4}(x) + 2x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{4}(x) + 2x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)*4sec^{4}(x)tan(x) - 156*51x^{50}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 156x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - 156x^{51}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - 156x^{51}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) + 2*51x^{50}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 2x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin(x)cos(x)sec^{4}(x) + 2x^{51}sin(cos(x)tan(x))cos(x)cos(x)sec^{4}(x) + 2x^{51}sin(cos(x)tan(x))sin(x)*-sin(x)sec^{4}(x) + 2x^{51}sin(cos(x)tan(x))sin(x)cos(x)*4sec^{4}(x)tan(x) - 3*52x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{52}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{52}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x) - 3x^{52}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x) - 3x^{52}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1) + 4*51x^{50}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{51}cos(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{51}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 4x^{51}sin(x)sin(cos(x)tan(x))*-sin(x)sec^{4}(x) + 4x^{51}sin(x)sin(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) - 156*51x^{50}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 156x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) + 52x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{52}cos(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) + x^{52}sin(x)cos(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) + x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) + x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) - 52x^{51}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) - x^{52}*-3cos^{2}(x)sin(x)cos(cos(x)tan(x))sec^{6}(x) - x^{52}cos^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{6}(x) - x^{52}cos^{3}(x)cos(cos(x)tan(x))*6sec^{6}(x)tan(x) + 7956*50x^{49}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 7956x^{50}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 7956x^{50}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 7956x^{50}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 153*50x^{49}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 153x^{50}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - 153x^{50}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - 153x^{50}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) + 51x^{50}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{51}cos(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) + x^{51}sin(x)cos(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) + x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) + x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) - 51x^{50}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) - x^{51}*-3cos^{2}(x)sin(x)cos(cos(x)tan(x))sec^{6}(x) - x^{51}cos^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{6}(x) - x^{51}cos^{3}(x)cos(cos(x)tan(x))*6sec^{6}(x)tan(x) + 52x^{51}sin(x)cos(cos(x)tan(x))tan(x) + x^{52}cos(x)cos(cos(x)tan(x))tan(x) + x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) + x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 52x^{51}cos(cos(x)tan(x))cos(x)sec^{2}(x) - x^{52}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{2}(x) - x^{52}cos(cos(x)tan(x))*-sin(x)sec^{2}(x) - x^{52}cos(cos(x)tan(x))cos(x)*2sec^{2}(x)tan(x) + 53x^{52}sin(x)cos(cos(x)tan(x))tan(x) + x^{53}cos(x)cos(cos(x)tan(x))tan(x) + x^{53}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) + x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 7650*49x^{48}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 7650x^{49}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 7650x^{49}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 7650x^{49}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 132600*49x^{48}sin(cos(x)tan(x)) + 132600x^{49}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 140556*50x^{49}sin(cos(x)tan(x)) + 140556x^{50}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 124950*48x^{47}sin(cos(x)tan(x)) + 124950x^{48}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) - 53x^{52}cos(cos(x)tan(x))cos(x)sec^{2}(x) - x^{53}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{2}(x) - x^{53}cos(cos(x)tan(x))*-sin(x)sec^{2}(x) - x^{53}cos(cos(x)tan(x))cos(x)*2sec^{2}(x)tan(x)\\=&-1272x^{52}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 10x^{53}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 14x^{53}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x)sec^{2}(x) + 48x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) - 8x^{53}sin(x)cos(cos(x)tan(x))sec^{4}(x) - 16x^{53}sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 33062x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 1272x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 1272x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 424x^{52}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 848x^{52}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 848x^{52}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 12x^{53}sin^{3}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 18x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) - 8x^{53}sin^{2}(x)sin(cos(x)tan(x))sec^{4}(x) + 33044x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 636x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) - 636x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 424x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 424x^{52}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 424x^{52}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) - 8x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{6}(x) + 416x^{51}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 848x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 31824x^{50}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 1248x^{51}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 1248x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 1248x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 408x^{50}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 832x^{51}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 10x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) - 12x^{53}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{6}(x) + 48x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) + 12x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 28x^{53}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) + 12x^{53}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) - 12x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) + 14x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{4}(x) - 10x^{53}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 48x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) + 16x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) - 3x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) + 6x^{53}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 28x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 8x^{52}sin(x)cos(cos(x)tan(x))sec^{4}(x) + 8x^{53}cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 8x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 8x^{53}cos(x)cos(cos(x)tan(x))tan^{3}(x)sec^{2}(x) - 10x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 14x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x)sec^{2}(x) - 8x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{6}(x) - 16x^{52}sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 14x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{4}(x) - 3x^{53}sin(cos(x)tan(x))sin^{3}(x)cos(x)tan^{3}(x)sec^{2}(x) + 3x^{53}sin^{2}(x)sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) - 6x^{53}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 4x^{53}sin(cos(x)tan(x))sin^{2}(x)sec^{4}(x) + 10x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) - 12x^{52}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{6}(x) + 12x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 28x^{52}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) + 3x^{53}sin(cos(x)tan(x))sin^{2}(x)cos^{2}(x)tan^{2}(x)sec^{4}(x) - 4x^{53}sin(x)sin(cos(x)tan(x))cos^{3}(x)tan(x)sec^{6}(x) + 4x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{6}(x) - 832x^{51}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 12x^{52}sin^{3}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 18x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) - 28x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 8x^{52}sin^{2}(x)sin(cos(x)tan(x))sec^{4}(x) + 416x^{51}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 3x^{52}sin^{2}(x)sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) + 4x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{6}(x) + 8x^{53}sin(cos(x)tan(x))sin(x)cos(x)tan(x)sec^{4}(x) + 12x^{52}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) - 12x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) + 416x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 10x^{52}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 16x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) + 8x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 408x^{50}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 8x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{6}(x) - 4x^{52}sin(x)sin(cos(x)tan(x))cos^{3}(x)tan(x)sec^{6}(x) + 624x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) - 3x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) + 6x^{52}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 8x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{6}(x) + 30600x^{49}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 1224x^{50}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 1224x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 1224x^{50}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 424x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 816x^{50}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 416x^{51}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{52}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 4x^{52}sin(cos(x)tan(x))sin^{2}(x)sec^{4}(x) + 31824x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 624x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 14x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{4}(x) - 8x^{51}sin(x)cos(cos(x)tan(x))sec^{4}(x) - 416x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 832x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 8x^{53}cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) + 8x^{52}cos(x)cos(cos(x)tan(x))tan^{3}(x)sec^{2}(x) + 10x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) - 12x^{51}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{6}(x) - 16524x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 28x^{51}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) - 14x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x)sec^{2}(x) - 31824x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 16x^{51}sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 8x^{51}cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) + 16x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) + 8x^{52}cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) + 8x^{51}cos(x)cos(cos(x)tan(x))tan^{3}(x)sec^{2}(x) + 612x^{50}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) - 3x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) + 6x^{51}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 33068x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 12x^{51}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) + 408x^{50}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 3x^{52}sin(cos(x)tan(x))sin^{3}(x)cos(x)tan^{3}(x)sec^{2}(x) - 12x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) - 9x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 10x^{51}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 816x^{50}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 12x^{51}sin^{3}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 18x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) - 8x^{51}sin^{2}(x)sin(cos(x)tan(x))sec^{4}(x) - 530400x^{49}sin(x)cos(cos(x)tan(x))tan(x) - 2x^{51}cos(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 408x^{50}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 3x^{52}sin(cos(x)tan(x))sin^{2}(x)cos^{2}(x)tan^{2}(x)sec^{4}(x) + 3x^{51}sin^{2}(x)sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) + 4x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{6}(x) - 15912x^{50}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 6x^{51}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 4x^{51}sin(cos(x)tan(x))sin^{2}(x)sec^{4}(x) - 4x^{51}sin(x)sin(cos(x)tan(x))cos^{3}(x)tan(x)sec^{6}(x) + 8x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{6}(x) + 8x^{52}sin(cos(x)tan(x))sin(x)cos(x)tan(x)sec^{4}(x) + 30600x^{49}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 612x^{50}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 9x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 8x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{6}(x) + 561816x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 212x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 212x^{52}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + 212x^{52}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) + x^{53}sin(cos(x)tan(x))sin^{4}(x)tan^{4}(x) - x^{53}sin^{3}(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) + x^{53}sin(cos(x)tan(x))cos^{4}(x)sec^{8}(x) - x^{52}sin^{3}(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) - 208x^{51}cos(cos(x)tan(x))cos(x)sec^{2}(x) - 562020x^{50}sin(x)cos(cos(x)tan(x))tan(x) - 2x^{52}cos(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 16535x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 4x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x) - x^{51}sin^{3}(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) - 212x^{52}cos(cos(x)tan(x))cos(x)sec^{2}(x) - 499800x^{48}sin(x)cos(cos(x)tan(x))tan(x) - 2x^{53}cos(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 15300x^{49}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 30600x^{49}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 3x^{51}sin(cos(x)tan(x))sin^{3}(x)cos(x)tan^{3}(x)sec^{2}(x) - 204x^{50}cos(cos(x)tan(x))cos(x)sec^{2}(x) + 204x^{50}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - 9x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 3x^{53}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x) + 816x^{50}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 208x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 204x^{50}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 3x^{51}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x) + 208x^{51}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) + x^{52}sin(cos(x)tan(x))sin^{4}(x)tan^{4}(x) + 8x^{51}sin(cos(x)tan(x))sin(x)cos(x)tan(x)sec^{4}(x) - 15912x^{50}cos(x)cos(cos(x)tan(x))tan(x) + x^{51}sin(cos(x)tan(x))sin^{4}(x)tan^{4}(x) + 3x^{51}sin(cos(x)tan(x))sin^{2}(x)cos^{2}(x)tan^{2}(x)sec^{4}(x) + 3x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x) - 612x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 624x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + 3x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x) - 636x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + 3x^{52}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) - 3x^{52}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x) + 3x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x) + 3x^{52}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x) - 15912x^{50}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 208x^{51}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + 208x^{51}sin(x)cos(cos(x)tan(x))tan(x) - 3x^{53}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x) + 3x^{51}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) + x^{52}sin(cos(x)tan(x))cos^{4}(x)sec^{8}(x) + 530400x^{49}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 15300x^{49}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 204x^{50}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + 212x^{52}sin(x)cos(cos(x)tan(x))tan(x) - 3x^{51}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x) + 3x^{53}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) + x^{51}sin(cos(x)tan(x))cos^{4}(x)sec^{8}(x) + x^{52}cos(x)cos(cos(x)tan(x))tan(x) + x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 16535x^{51}cos(x)cos(cos(x)tan(x))tan(x) + x^{53}cos(x)cos(cos(x)tan(x))tan(x) + x^{53}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 499800x^{48}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 6497400x^{48}sin(cos(x)tan(x)) + 7027800x^{49}sin(cos(x)tan(x)) + 5997600x^{47}sin(cos(x)tan(x)) - 15300x^{49}cos(x)cos(cos(x)tan(x))tan(x)\\ \end{split}\end{equation} \]
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ sin(cos(x)tan(x))({x}^{2} + x + 1){x}^{51}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{53}sin(cos(x)tan(x)) + x^{52}sin(cos(x)tan(x)) + x^{51}sin(cos(x)tan(x))\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{53}sin(cos(x)tan(x)) + x^{52}sin(cos(x)tan(x)) + x^{51}sin(cos(x)tan(x))\right)}{dx}\\=&53x^{52}sin(cos(x)tan(x)) + x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 52x^{51}sin(cos(x)tan(x)) + x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 51x^{50}sin(cos(x)tan(x)) + x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))\\=&-x^{53}sin(x)cos(cos(x)tan(x))tan(x) - x^{52}sin(x)cos(cos(x)tan(x))tan(x) + x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{51}sin(x)cos(cos(x)tan(x))tan(x) + 53x^{52}sin(cos(x)tan(x)) + x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 51x^{50}sin(cos(x)tan(x)) + 52x^{51}sin(cos(x)tan(x)) + x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -x^{53}sin(x)cos(cos(x)tan(x))tan(x) - x^{52}sin(x)cos(cos(x)tan(x))tan(x) + x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{51}sin(x)cos(cos(x)tan(x))tan(x) + 53x^{52}sin(cos(x)tan(x)) + x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 51x^{50}sin(cos(x)tan(x)) + 52x^{51}sin(cos(x)tan(x)) + x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)\right)}{dx}\\=&-53x^{52}sin(x)cos(cos(x)tan(x))tan(x) - x^{53}cos(x)cos(cos(x)tan(x))tan(x) - x^{53}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 52x^{51}sin(x)cos(cos(x)tan(x))tan(x) - x^{52}cos(x)cos(cos(x)tan(x))tan(x) - x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 53x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + x^{53}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + x^{53}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + x^{53}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 51x^{50}sin(x)cos(cos(x)tan(x))tan(x) - x^{51}cos(x)cos(cos(x)tan(x))tan(x) - x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 53*52x^{51}sin(cos(x)tan(x)) + 53x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 52x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) + x^{52}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + x^{52}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 51*50x^{49}sin(cos(x)tan(x)) + 51x^{50}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 52*51x^{50}sin(cos(x)tan(x)) + 52x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 51x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + x^{51}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + x^{51}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x)\\=&-106x^{52}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{53}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - x^{53}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 104x^{51}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 106x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + 2x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 102x^{50}sin(x)cos(cos(x)tan(x))tan(x) - x^{51}cos(x)cos(cos(x)tan(x))tan(x) - x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) - x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + 104x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - x^{52}cos(x)cos(cos(x)tan(x))tan(x) + 2550x^{49}sin(cos(x)tan(x)) + 102x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 2652x^{50}sin(cos(x)tan(x)) + 2756x^{51}sin(cos(x)tan(x)) - x^{53}cos(x)cos(cos(x)tan(x))tan(x)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( -106x^{52}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{53}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - x^{53}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 104x^{51}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 106x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + 2x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 102x^{50}sin(x)cos(cos(x)tan(x))tan(x) - x^{51}cos(x)cos(cos(x)tan(x))tan(x) - x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) - x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + 104x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - x^{52}cos(x)cos(cos(x)tan(x))tan(x) + 2550x^{49}sin(cos(x)tan(x)) + 102x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 2652x^{50}sin(cos(x)tan(x)) + 2756x^{51}sin(cos(x)tan(x)) - x^{53}cos(x)cos(cos(x)tan(x))tan(x)\right)}{dx}\\=&-106*52x^{51}sin(x)cos(cos(x)tan(x))tan(x) - 106x^{52}cos(x)cos(cos(x)tan(x))tan(x) - 106x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 106x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 2*53x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{53}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{53}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 2x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 2x^{53}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 53x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - x^{53}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - x^{53}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) + 2*53x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{53}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{53}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 2x^{53}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 2x^{53}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 2x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 2*53x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{53}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 2x^{53}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 104*51x^{50}sin(x)cos(cos(x)tan(x))tan(x) - 104x^{51}cos(x)cos(cos(x)tan(x))tan(x) - 104x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 104x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 2*52x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{52}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 2x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 2x^{52}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 52x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - x^{52}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - x^{52}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) + 2*52x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{52}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{52}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 2x^{52}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 2x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 2x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 2*52x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 2x^{52}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 106*52x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 106x^{52}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 106x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 106x^{52}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 53x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - x^{53}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - x^{53}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) + 2*51x^{50}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{51}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 2x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 2x^{51}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 102*50x^{49}sin(x)cos(cos(x)tan(x))tan(x) - 102x^{50}cos(x)cos(cos(x)tan(x))tan(x) - 102x^{50}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 102x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 51x^{50}cos(x)cos(cos(x)tan(x))tan(x) - x^{51}*-sin(x)cos(cos(x)tan(x))tan(x) - x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 51x^{50}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - x^{51}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - x^{51}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) + 2*51x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{51}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 2x^{51}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 2x^{51}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 2x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 2x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 2*51x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 2x^{51}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 52x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - x^{52}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - x^{52}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) + 104*51x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 104x^{51}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 104x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 104x^{51}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 51x^{50}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - x^{51}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - x^{51}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) - 52x^{51}cos(x)cos(cos(x)tan(x))tan(x) - x^{52}*-sin(x)cos(cos(x)tan(x))tan(x) - x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 2550*49x^{48}sin(cos(x)tan(x)) + 2550x^{49}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 102*50x^{49}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 102x^{50}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 102x^{50}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 102x^{50}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 2652*50x^{49}sin(cos(x)tan(x)) + 2652x^{50}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 2756*51x^{50}sin(cos(x)tan(x)) + 2756x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) - 53x^{52}cos(x)cos(cos(x)tan(x))tan(x) - x^{53}*-sin(x)cos(cos(x)tan(x))tan(x) - x^{53}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)\\=&-6x^{53}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 318x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 4x^{53}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 318x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 318x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 312x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 6x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 3x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 2x^{53}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 6x^{52}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 3x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 2x^{53}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 2x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 4x^{52}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 2x^{53}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 6x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 2x^{52}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 3x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 306x^{50}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{52}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 312x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 312x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 4x^{52}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 6x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{51}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{51}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{51}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 3x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) - 3x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 4x^{51}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) - 7956x^{50}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 2x^{51}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{52}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 306x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 4x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 8266x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 159x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{53}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - x^{53}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) - 156x^{51}cos(x)cos(cos(x)tan(x))tan(x) - 8267x^{51}sin(x)cos(cos(x)tan(x))tan(x) + x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 2x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 159x^{52}cos(x)cos(cos(x)tan(x))tan(x) - 7650x^{49}sin(x)cos(cos(x)tan(x))tan(x) - 153x^{50}cos(x)cos(cos(x)tan(x))tan(x) - 153x^{50}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 3x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 306x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 3x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + x^{52}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - x^{51}cos(cos(x)tan(x))cos(x)sec^{2}(x) + x^{51}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - 3x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 159x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) - 3x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + 4x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - x^{52}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + 7956x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 153x^{50}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - x^{51}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + x^{52}sin(x)cos(cos(x)tan(x))tan(x) - x^{52}cos(cos(x)tan(x))cos(x)sec^{2}(x) + x^{53}sin(x)cos(cos(x)tan(x))tan(x) + 7650x^{49}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 132600x^{49}sin(cos(x)tan(x)) + 140556x^{50}sin(cos(x)tan(x)) + 124950x^{48}sin(cos(x)tan(x)) - x^{53}cos(cos(x)tan(x))cos(x)sec^{2}(x)\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( -6x^{53}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 318x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 4x^{53}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 318x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 318x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 312x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 6x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 3x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 2x^{53}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 6x^{52}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 3x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 2x^{53}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 2x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 4x^{52}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 2x^{53}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 6x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 2x^{52}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 3x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 306x^{50}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{52}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 312x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 312x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 4x^{52}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 6x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{51}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{51}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{51}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 3x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) - 3x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 4x^{51}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) - 7956x^{50}sin(x)cos(cos(x)tan(x))tan(x) + 2x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 2x^{51}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 2x^{52}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 306x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 2x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 4x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 8266x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 159x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{53}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - x^{53}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) - 156x^{51}cos(x)cos(cos(x)tan(x))tan(x) - 8267x^{51}sin(x)cos(cos(x)tan(x))tan(x) + x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 2x^{53}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 159x^{52}cos(x)cos(cos(x)tan(x))tan(x) - 7650x^{49}sin(x)cos(cos(x)tan(x))tan(x) - 153x^{50}cos(x)cos(cos(x)tan(x))tan(x) - 153x^{50}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 3x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 306x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 3x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + x^{52}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - x^{51}cos(cos(x)tan(x))cos(x)sec^{2}(x) + x^{51}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - 3x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 159x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 2x^{51}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) - 3x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + 4x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - x^{52}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + 7956x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 153x^{50}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) + x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - x^{51}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + x^{52}sin(x)cos(cos(x)tan(x))tan(x) - x^{52}cos(cos(x)tan(x))cos(x)sec^{2}(x) + x^{53}sin(x)cos(cos(x)tan(x))tan(x) + 7650x^{49}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 132600x^{49}sin(cos(x)tan(x)) + 140556x^{50}sin(cos(x)tan(x)) + 124950x^{48}sin(cos(x)tan(x)) - x^{53}cos(cos(x)tan(x))cos(x)sec^{2}(x)\right)}{dx}\\=&-6*53x^{52}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{53}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{53}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 6x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 6x^{53}sin(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) + 318*52x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 318x^{52}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 318x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 318x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 318x^{52}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 4*53x^{52}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{53}sin(cos(x)tan(x))*2sin(x)cos(x)tan(x)sec^{2}(x) - 4x^{53}sin(cos(x)tan(x))sin^{2}(x)sec^{2}(x)(1)sec^{2}(x) - 4x^{53}sin(cos(x)tan(x))sin^{2}(x)tan(x)*2sec^{2}(x)tan(x) + 318*52x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 318x^{52}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 318x^{52}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 318x^{52}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 318x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 318x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 318*52x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 318x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 318x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 318x^{52}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 312*51x^{50}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 312x^{51}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 312x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 312x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 312x^{51}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 6*53x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{53}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) - 6x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) - 6x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) + 6*53x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{53}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{53}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{53}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) + 6x^{53}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 6x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) + 3*53x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{53}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{2}(x) + 3x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{2}(x) + 3x^{53}sin(cos(x)tan(x))cos^{2}(x)tan(x)*2sec^{2}(x)tan(x) + 2*53x^{52}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 2x^{53}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 2x^{53}cos(cos(x)tan(x))*-sin(x)sec^{4}(x) + 2x^{53}cos(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) + 4*53x^{52}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{53}*-sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{53}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{2}(x)sec^{2}(x) + 4x^{53}cos(x)cos(cos(x)tan(x))*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 4x^{53}cos(x)cos(cos(x)tan(x))tan^{2}(x)*2sec^{2}(x)tan(x) - 6*52x^{51}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 6x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 6x^{52}sin(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 3*53x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{53}*2sin(x)cos(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{53}sin^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{53}sin^{2}(x)cos(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) - 3x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) - 3x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) - 2*53x^{52}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{53}*2sin(x)cos(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{53}sin^{2}(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 2x^{53}sin^{2}(x)sin(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 2x^{53}sin^{2}(x)sin(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 6*52x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{52}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) - 6x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) - 6x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) + 2*53x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{53}cos(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{53}sin(x)*-2cos(x)sin(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{53}sin(x)cos^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{4}(x) + 2x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{4}(x) + 2x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)*4sec^{4}(x)tan(x) - 4*52x^{51}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{52}sin(cos(x)tan(x))*2sin(x)cos(x)tan(x)sec^{2}(x) - 4x^{52}sin(cos(x)tan(x))sin^{2}(x)sec^{2}(x)(1)sec^{2}(x) - 4x^{52}sin(cos(x)tan(x))sin^{2}(x)tan(x)*2sec^{2}(x)tan(x) + 2*53x^{52}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 2x^{53}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin(x)cos(x)sec^{4}(x) + 2x^{53}sin(cos(x)tan(x))cos(x)cos(x)sec^{4}(x) + 2x^{53}sin(cos(x)tan(x))sin(x)*-sin(x)sec^{4}(x) + 2x^{53}sin(cos(x)tan(x))sin(x)cos(x)*4sec^{4}(x)tan(x) + 6*52x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{52}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{52}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{52}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) + 6x^{52}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 6x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) + 2*52x^{51}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 2x^{52}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 2x^{52}cos(cos(x)tan(x))*-sin(x)sec^{4}(x) + 2x^{52}cos(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) + 4*53x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}cos(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{53}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 4x^{53}sin(x)sin(cos(x)tan(x))*-sin(x)sec^{4}(x) + 4x^{53}sin(x)sin(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) + 3*52x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{52}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{2}(x) + 3x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{2}(x) + 3x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)*2sec^{2}(x)tan(x) + 306*50x^{49}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 306x^{50}*-sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 306x^{50}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) + 306x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) + 306x^{50}cos(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) - 2*52x^{51}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{52}*2sin(x)cos(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{52}sin^{2}(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 2x^{52}sin^{2}(x)sin(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 2x^{52}sin^{2}(x)sin(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) + 312*51x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 312x^{51}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 312x^{51}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 312x^{51}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 312x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 312x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 312*51x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 312x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 312x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 312x^{51}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 4*52x^{51}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{52}*-sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{2}(x)sec^{2}(x) + 4x^{52}cos(x)cos(cos(x)tan(x))*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 4x^{52}cos(x)cos(cos(x)tan(x))tan^{2}(x)*2sec^{2}(x)tan(x) - 6*51x^{50}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) - 6x^{51}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) - 6x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) - 6x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) - 6*51x^{50}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 6x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 6x^{51}sin(x)cos(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) + 2*51x^{50}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 2x^{51}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 2x^{51}cos(cos(x)tan(x))*-sin(x)sec^{4}(x) + 2x^{51}cos(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) + 4*51x^{50}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{51}*-sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{2}(x)sec^{2}(x) + 4x^{51}cos(x)cos(cos(x)tan(x))*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 4x^{51}cos(x)cos(cos(x)tan(x))tan^{2}(x)*2sec^{2}(x)tan(x) + 3*51x^{50}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{2}(x) + 3x^{51}sin(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{2}(x) + 3x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{2}(x) + 3x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)*2sec^{2}(x)tan(x) - 3*52x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{52}*2sin(x)cos(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{52}sin^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{52}sin^{2}(x)cos(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) - 3x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) - 3x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) + 6*51x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{51}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{51}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) + 6x^{51}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) + 6x^{51}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) + 6x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) - 4*51x^{50}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan(x)sec^{2}(x) - 4x^{51}sin(cos(x)tan(x))*2sin(x)cos(x)tan(x)sec^{2}(x) - 4x^{51}sin(cos(x)tan(x))sin^{2}(x)sec^{2}(x)(1)sec^{2}(x) - 4x^{51}sin(cos(x)tan(x))sin^{2}(x)tan(x)*2sec^{2}(x)tan(x) - 7956*50x^{49}sin(x)cos(cos(x)tan(x))tan(x) - 7956x^{50}cos(x)cos(cos(x)tan(x))tan(x) - 7956x^{50}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 7956x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 2*52x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{52}cos(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{52}sin(x)*-2cos(x)sin(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{52}sin(x)cos^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{4}(x) + 2x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{4}(x) + 2x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)*4sec^{4}(x)tan(x) - 2*51x^{50}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{51}*2sin(x)cos(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 2x^{51}sin^{2}(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{2}(x) - 2x^{51}sin^{2}(x)sin(cos(x)tan(x))sec^{2}(x)(1)sec^{2}(x) - 2x^{51}sin^{2}(x)sin(cos(x)tan(x))tan(x)*2sec^{2}(x)tan(x) + 2*52x^{51}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 2x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin(x)cos(x)sec^{4}(x) + 2x^{52}sin(cos(x)tan(x))cos(x)cos(x)sec^{4}(x) + 2x^{52}sin(cos(x)tan(x))sin(x)*-sin(x)sec^{4}(x) + 2x^{52}sin(cos(x)tan(x))sin(x)cos(x)*4sec^{4}(x)tan(x) + 306*50x^{49}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 306x^{50}cos(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 306x^{50}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan(x)sec^{2}(x) + 306x^{50}sin(x)sin(cos(x)tan(x))*-sin(x)tan(x)sec^{2}(x) + 306x^{50}sin(x)sin(cos(x)tan(x))cos(x)sec^{2}(x)(1)sec^{2}(x) + 306x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)*2sec^{2}(x)tan(x) - 2*52x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{52}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 2x^{52}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 4*52x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{52}cos(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{52}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 4x^{52}sin(x)sin(cos(x)tan(x))*-sin(x)sec^{4}(x) + 4x^{52}sin(x)sin(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) + 8266*51x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 8266x^{51}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 8266x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 8266x^{51}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 159*52x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 159x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - 159x^{52}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - 159x^{52}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) + 53x^{52}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) + x^{53}*3sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) + x^{53}sin^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{3}(x) + x^{53}sin^{3}(x)cos(cos(x)tan(x))*3tan^{2}(x)sec^{2}(x)(1) - 53x^{52}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) - x^{53}*-3cos^{2}(x)sin(x)cos(cos(x)tan(x))sec^{6}(x) - x^{53}cos^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{6}(x) - x^{53}cos^{3}(x)cos(cos(x)tan(x))*6sec^{6}(x)tan(x) - 156*51x^{50}cos(x)cos(cos(x)tan(x))tan(x) - 156x^{51}*-sin(x)cos(cos(x)tan(x))tan(x) - 156x^{51}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 156x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 8267*51x^{50}sin(x)cos(cos(x)tan(x))tan(x) - 8267x^{51}cos(x)cos(cos(x)tan(x))tan(x) - 8267x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 8267x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 53x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{53}cos(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{53}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) + x^{53}sin(x)cos(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) + x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) + x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) - 2*53x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{53}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) - 2x^{53}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 2x^{53}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 159*52x^{51}cos(x)cos(cos(x)tan(x))tan(x) - 159x^{52}*-sin(x)cos(cos(x)tan(x))tan(x) - 159x^{52}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 159x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 7650*49x^{48}sin(x)cos(cos(x)tan(x))tan(x) - 7650x^{49}cos(x)cos(cos(x)tan(x))tan(x) - 7650x^{49}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 7650x^{49}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 153*50x^{49}cos(x)cos(cos(x)tan(x))tan(x) - 153x^{50}*-sin(x)cos(cos(x)tan(x))tan(x) - 153x^{50}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) - 153x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 153*50x^{49}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 153x^{50}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - 153x^{50}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - 153x^{50}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) - 3*53x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{53}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{53}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x) - 3x^{53}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x) - 3x^{53}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1) - 306*50x^{49}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 306x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 306x^{50}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) - 306x^{50}sin(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 3*51x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{51}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{51}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x) - 3x^{51}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x) - 3x^{51}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1) + 52x^{51}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) + x^{52}*3sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) + x^{52}sin^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{3}(x) + x^{52}sin^{3}(x)cos(cos(x)tan(x))*3tan^{2}(x)sec^{2}(x)(1) - 51x^{50}cos(cos(x)tan(x))cos(x)sec^{2}(x) - x^{51}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{2}(x) - x^{51}cos(cos(x)tan(x))*-sin(x)sec^{2}(x) - x^{51}cos(cos(x)tan(x))cos(x)*2sec^{2}(x)tan(x) + 51x^{50}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) + x^{51}*3sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) + x^{51}sin^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan^{3}(x) + x^{51}sin^{3}(x)cos(cos(x)tan(x))*3tan^{2}(x)sec^{2}(x)(1) - 3*51x^{50}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{51}*2sin(x)cos(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{51}sin^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x)sec^{2}(x) - 3x^{51}sin^{2}(x)cos(cos(x)tan(x))*-sin(x)tan^{2}(x)sec^{2}(x) - 3x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1)sec^{2}(x) - 3x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)*2sec^{2}(x)tan(x) - 159*52x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 159x^{52}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - 159x^{52}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - 159x^{52}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) + 2*51x^{50}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{51}cos(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{51}sin(x)*-2cos(x)sin(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 2x^{51}sin(x)cos^{2}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x)sec^{4}(x) + 2x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{2}(x)(1)sec^{4}(x) + 2x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)*4sec^{4}(x)tan(x) - 156*51x^{50}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 156x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin^{2}(x)tan^{2}(x) - 156x^{51}sin(cos(x)tan(x))*2sin(x)cos(x)tan^{2}(x) - 156x^{51}sin(cos(x)tan(x))sin^{2}(x)*2tan(x)sec^{2}(x)(1) + 2*51x^{50}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 2x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sin(x)cos(x)sec^{4}(x) + 2x^{51}sin(cos(x)tan(x))cos(x)cos(x)sec^{4}(x) + 2x^{51}sin(cos(x)tan(x))sin(x)*-sin(x)sec^{4}(x) + 2x^{51}sin(cos(x)tan(x))sin(x)cos(x)*4sec^{4}(x)tan(x) - 3*52x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{52}cos(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 3x^{52}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)tan^{2}(x) - 3x^{52}sin(x)sin(cos(x)tan(x))*-sin(x)tan^{2}(x) - 3x^{52}sin(x)sin(cos(x)tan(x))cos(x)*2tan(x)sec^{2}(x)(1) + 4*51x^{50}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{51}cos(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 4x^{51}sin(x)cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{4}(x) + 4x^{51}sin(x)sin(cos(x)tan(x))*-sin(x)sec^{4}(x) + 4x^{51}sin(x)sin(cos(x)tan(x))cos(x)*4sec^{4}(x)tan(x) - 156*51x^{50}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 156x^{51}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - 156x^{51}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) + 52x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{52}cos(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) + x^{52}sin(x)cos(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) + x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) + x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) - 52x^{51}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) - x^{52}*-3cos^{2}(x)sin(x)cos(cos(x)tan(x))sec^{6}(x) - x^{52}cos^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{6}(x) - x^{52}cos^{3}(x)cos(cos(x)tan(x))*6sec^{6}(x)tan(x) + 7956*50x^{49}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 7956x^{50}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 7956x^{50}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 7956x^{50}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) - 153*50x^{49}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 153x^{50}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)sec^{4}(x) - 153x^{50}sin(cos(x)tan(x))*-2cos(x)sin(x)sec^{4}(x) - 153x^{50}sin(cos(x)tan(x))cos^{2}(x)*4sec^{4}(x)tan(x) + 51x^{50}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{51}cos(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + x^{51}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos^{2}(x)tan(x)sec^{4}(x) + x^{51}sin(x)cos(cos(x)tan(x))*-2cos(x)sin(x)tan(x)sec^{4}(x) + x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{2}(x)(1)sec^{4}(x) + x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)*4sec^{4}(x)tan(x) - 51x^{50}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) - x^{51}*-3cos^{2}(x)sin(x)cos(cos(x)tan(x))sec^{6}(x) - x^{51}cos^{3}(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{6}(x) - x^{51}cos^{3}(x)cos(cos(x)tan(x))*6sec^{6}(x)tan(x) + 52x^{51}sin(x)cos(cos(x)tan(x))tan(x) + x^{52}cos(x)cos(cos(x)tan(x))tan(x) + x^{52}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) + x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) - 52x^{51}cos(cos(x)tan(x))cos(x)sec^{2}(x) - x^{52}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{2}(x) - x^{52}cos(cos(x)tan(x))*-sin(x)sec^{2}(x) - x^{52}cos(cos(x)tan(x))cos(x)*2sec^{2}(x)tan(x) + 53x^{52}sin(x)cos(cos(x)tan(x))tan(x) + x^{53}cos(x)cos(cos(x)tan(x))tan(x) + x^{53}sin(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))tan(x) + x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x)(1) + 7650*49x^{48}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 7650x^{49}*-sin(x)cos(cos(x)tan(x))sec^{2}(x) + 7650x^{49}cos(x)*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))sec^{2}(x) + 7650x^{49}cos(x)cos(cos(x)tan(x))*2sec^{2}(x)tan(x) + 132600*49x^{48}sin(cos(x)tan(x)) + 132600x^{49}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 140556*50x^{49}sin(cos(x)tan(x)) + 140556x^{50}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) + 124950*48x^{47}sin(cos(x)tan(x)) + 124950x^{48}cos(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1)) - 53x^{52}cos(cos(x)tan(x))cos(x)sec^{2}(x) - x^{53}*-sin(cos(x)tan(x))(-sin(x)tan(x) + cos(x)sec^{2}(x)(1))cos(x)sec^{2}(x) - x^{53}cos(cos(x)tan(x))*-sin(x)sec^{2}(x) - x^{53}cos(cos(x)tan(x))cos(x)*2sec^{2}(x)tan(x)\\=&-1272x^{52}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 10x^{53}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 14x^{53}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x)sec^{2}(x) + 48x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) - 8x^{53}sin(x)cos(cos(x)tan(x))sec^{4}(x) - 16x^{53}sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 33062x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 1272x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 1272x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 424x^{52}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 848x^{52}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 848x^{52}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 12x^{53}sin^{3}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 18x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) - 8x^{53}sin^{2}(x)sin(cos(x)tan(x))sec^{4}(x) + 33044x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) + 636x^{52}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) - 636x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 424x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 424x^{52}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 424x^{52}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) - 8x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{6}(x) + 416x^{51}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 848x^{52}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 31824x^{50}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 1248x^{51}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 1248x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 1248x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 408x^{50}cos(cos(x)tan(x))cos(x)sec^{4}(x) + 832x^{51}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 10x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) - 12x^{53}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{6}(x) + 48x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) + 12x^{53}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 28x^{53}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) + 12x^{53}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) - 12x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) + 14x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{4}(x) - 10x^{53}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 48x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) + 16x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) - 3x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) + 6x^{53}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 28x^{53}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 8x^{52}sin(x)cos(cos(x)tan(x))sec^{4}(x) + 8x^{53}cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 8x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 8x^{53}cos(x)cos(cos(x)tan(x))tan^{3}(x)sec^{2}(x) - 10x^{52}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 14x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x)sec^{2}(x) - 8x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{6}(x) - 16x^{52}sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 14x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{4}(x) - 3x^{53}sin(cos(x)tan(x))sin^{3}(x)cos(x)tan^{3}(x)sec^{2}(x) + 3x^{53}sin^{2}(x)sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) - 6x^{53}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 4x^{53}sin(cos(x)tan(x))sin^{2}(x)sec^{4}(x) + 10x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) - 12x^{52}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{6}(x) + 12x^{52}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 28x^{52}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) + 3x^{53}sin(cos(x)tan(x))sin^{2}(x)cos^{2}(x)tan^{2}(x)sec^{4}(x) - 4x^{53}sin(x)sin(cos(x)tan(x))cos^{3}(x)tan(x)sec^{6}(x) + 4x^{53}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{6}(x) - 832x^{51}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 12x^{52}sin^{3}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 18x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) - 28x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 8x^{52}sin^{2}(x)sin(cos(x)tan(x))sec^{4}(x) + 416x^{51}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 3x^{52}sin^{2}(x)sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) + 4x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{6}(x) + 8x^{53}sin(cos(x)tan(x))sin(x)cos(x)tan(x)sec^{4}(x) + 12x^{52}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) - 12x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) + 416x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 10x^{52}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 16x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) + 8x^{51}cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) + 408x^{50}sin(cos(x)tan(x))sin(x)cos(x)sec^{4}(x) + 8x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{6}(x) - 4x^{52}sin(x)sin(cos(x)tan(x))cos^{3}(x)tan(x)sec^{6}(x) + 624x^{51}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) - 3x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) + 6x^{52}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 8x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{6}(x) + 30600x^{49}cos(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) - 1224x^{50}sin(x)cos(cos(x)tan(x))tan(x)sec^{2}(x) + 1224x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 1224x^{50}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 424x^{52}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 816x^{50}cos(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 416x^{51}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) - 6x^{52}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 4x^{52}sin(cos(x)tan(x))sin^{2}(x)sec^{4}(x) + 31824x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 624x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) + 14x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{4}(x) - 8x^{51}sin(x)cos(cos(x)tan(x))sec^{4}(x) - 416x^{51}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 832x^{51}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 8x^{53}cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) + 8x^{52}cos(x)cos(cos(x)tan(x))tan^{3}(x)sec^{2}(x) + 10x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) - 12x^{51}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{6}(x) - 16524x^{51}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 28x^{51}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) - 14x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x)sec^{2}(x) - 31824x^{50}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 16x^{51}sin(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 8x^{51}cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) + 16x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) + 8x^{52}cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) + 8x^{51}cos(x)cos(cos(x)tan(x))tan^{3}(x)sec^{2}(x) + 612x^{50}sin(cos(x)tan(x))cos^{2}(x)tan(x)sec^{2}(x) - 3x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) + 6x^{51}cos^{3}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 33068x^{51}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 12x^{51}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{2}(x) + 408x^{50}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 3x^{52}sin(cos(x)tan(x))sin^{3}(x)cos(x)tan^{3}(x)sec^{2}(x) - 12x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) - 9x^{53}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 10x^{51}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 816x^{50}sin(cos(x)tan(x))sin^{2}(x)tan(x)sec^{2}(x) + 12x^{51}sin^{3}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) - 18x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan(x)sec^{4}(x) - 8x^{51}sin^{2}(x)sin(cos(x)tan(x))sec^{4}(x) - 530400x^{49}sin(x)cos(cos(x)tan(x))tan(x) - 2x^{51}cos(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 408x^{50}sin^{2}(x)sin(cos(x)tan(x))tan(x)sec^{2}(x) + 3x^{52}sin(cos(x)tan(x))sin^{2}(x)cos^{2}(x)tan^{2}(x)sec^{4}(x) + 3x^{51}sin^{2}(x)sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x)sec^{4}(x) + 4x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)sec^{6}(x) - 15912x^{50}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 6x^{51}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan(x)sec^{4}(x) - 4x^{51}sin(cos(x)tan(x))sin^{2}(x)sec^{4}(x) - 4x^{51}sin(x)sin(cos(x)tan(x))cos^{3}(x)tan(x)sec^{6}(x) + 8x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{6}(x) + 8x^{52}sin(cos(x)tan(x))sin(x)cos(x)tan(x)sec^{4}(x) + 30600x^{49}sin(x)sin(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 612x^{50}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{2}(x)sec^{2}(x) - 9x^{52}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 4x^{52}sin(x)cos(cos(x)tan(x))sec^{2}(x) + 8x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))sec^{6}(x) + 561816x^{50}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 212x^{52}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) - 212x^{52}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + 212x^{52}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) + x^{53}sin(cos(x)tan(x))sin^{4}(x)tan^{4}(x) - x^{53}sin^{3}(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) + x^{53}sin(cos(x)tan(x))cos^{4}(x)sec^{8}(x) - x^{52}sin^{3}(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) - 208x^{51}cos(cos(x)tan(x))cos(x)sec^{2}(x) - 562020x^{50}sin(x)cos(cos(x)tan(x))tan(x) - 2x^{52}cos(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 16535x^{51}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 4x^{53}sin(x)cos(cos(x)tan(x))sec^{2}(x) - x^{51}sin^{3}(x)sin(cos(x)tan(x))cos(x)tan^{3}(x)sec^{2}(x) - 212x^{52}cos(cos(x)tan(x))cos(x)sec^{2}(x) - 499800x^{48}sin(x)cos(cos(x)tan(x))tan(x) - 2x^{53}cos(cos(x)tan(x))cos(x)tan(x)sec^{2}(x) - 15300x^{49}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 30600x^{49}sin(x)cos(cos(x)tan(x))sec^{2}(x) - 3x^{51}sin(cos(x)tan(x))sin^{3}(x)cos(x)tan^{3}(x)sec^{2}(x) - 204x^{50}cos(cos(x)tan(x))cos(x)sec^{2}(x) + 204x^{50}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) - 9x^{51}sin(x)cos^{2}(x)cos(cos(x)tan(x))tan^{2}(x)sec^{2}(x) + 3x^{53}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x) + 816x^{50}sin(x)sin(cos(x)tan(x))cos(x)sec^{4}(x) + 208x^{51}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 204x^{50}sin(x)cos(cos(x)tan(x))cos^{2}(x)tan(x)sec^{4}(x) + 3x^{51}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x) + 208x^{51}sin^{3}(x)cos(cos(x)tan(x))tan^{3}(x) + x^{52}sin(cos(x)tan(x))sin^{4}(x)tan^{4}(x) + 8x^{51}sin(cos(x)tan(x))sin(x)cos(x)tan(x)sec^{4}(x) - 15912x^{50}cos(x)cos(cos(x)tan(x))tan(x) + x^{51}sin(cos(x)tan(x))sin^{4}(x)tan^{4}(x) + 3x^{51}sin(cos(x)tan(x))sin^{2}(x)cos^{2}(x)tan^{2}(x)sec^{4}(x) + 3x^{51}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x) - 612x^{50}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) - 624x^{51}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + 3x^{53}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x) - 636x^{52}sin(x)sin(cos(x)tan(x))cos(x)tan^{2}(x) + 3x^{52}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) - 3x^{52}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x) + 3x^{52}sin^{2}(x)cos(cos(x)tan(x))cos(x)tan^{3}(x) + 3x^{52}sin^{2}(x)sin(cos(x)tan(x))tan^{2}(x) - 15912x^{50}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 208x^{51}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + 208x^{51}sin(x)cos(cos(x)tan(x))tan(x) - 3x^{53}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x) + 3x^{51}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) + x^{52}sin(cos(x)tan(x))cos^{4}(x)sec^{8}(x) + 530400x^{49}cos(x)cos(cos(x)tan(x))sec^{2}(x) - 15300x^{49}sin(cos(x)tan(x))cos^{2}(x)sec^{4}(x) - 204x^{50}cos^{3}(x)cos(cos(x)tan(x))sec^{6}(x) + 212x^{52}sin(x)cos(cos(x)tan(x))tan(x) - 3x^{51}sin(cos(x)tan(x))cos^{2}(x)tan^{2}(x) + 3x^{53}sin^{2}(x)cos(x)cos(cos(x)tan(x))tan^{3}(x) + x^{51}sin(cos(x)tan(x))cos^{4}(x)sec^{8}(x) + x^{52}cos(x)cos(cos(x)tan(x))tan(x) + x^{52}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) - 16535x^{51}cos(x)cos(cos(x)tan(x))tan(x) + x^{53}cos(x)cos(cos(x)tan(x))tan(x) + x^{53}sin(cos(x)tan(x))sin^{2}(x)tan^{2}(x) + 499800x^{48}cos(x)cos(cos(x)tan(x))sec^{2}(x) + 6497400x^{48}sin(cos(x)tan(x)) + 7027800x^{49}sin(cos(x)tan(x)) + 5997600x^{47}sin(cos(x)tan(x)) - 15300x^{49}cos(x)cos(cos(x)tan(x))tan(x)\\ \end{split}\end{equation} \]