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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ xe^{cosh(2x) - {sinh(x)}^{2} - {cosh(x)}^{2}} - x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)} - x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)} - x\right)}{dx}\\=&e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)} + xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x)) - 1\\=&e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)} - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) + 2xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) - 1\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)} - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) + 2xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) - 1\right)}{dx}\\=&e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x)) - 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(x) + 2e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) + 2xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x) + 2xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2 + 0\\=& - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)\right)}{dx}\\=& - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh(x) - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh(x) - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(x) + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x) + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2 + 16e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x)cosh^{2}(x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x)cosh^{2}(x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)*2cosh(x)sinh(x) - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)sinh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2sinh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)sinh(x) - 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))cosh^{2}(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2cosh(x)sinh(x) - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)sinh(2x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)sinh(2x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)*2cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)sinh(x) - 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x) + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(2x)cosh(2x)*2 + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))cosh(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)*2\\=&48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)cosh(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x)cosh^{2}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x)cosh(2x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x)cosh^{2}(x) - 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh^{3}(x) - 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh^{2}(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh^{3}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{2}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x) + 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)cosh(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x)cosh^{2}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x)cosh(2x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x)cosh^{2}(x) - 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh^{3}(x) - 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh^{2}(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh^{3}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{2}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x) + 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)\right)}{dx}\\=&48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x)cosh^{2}(x) + 48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x)cosh^{2}(x) + 48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)*2cosh(x)sinh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)sinh(x)cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2sinh(x)cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(x)cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)sinh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))cosh^{2}(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2cosh(x)sinh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)sinh(2x)cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)sinh(2x)cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)*2cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)sinh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(2x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(2x)cosh(2x)*2 + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))cosh(2x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)*2 - 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh(2x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh(2x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)*2cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)sinh(x) + 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x)cosh^{2}(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)sinh^{2}(x)cosh^{2}(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2sinh^{2}(x)cosh^{2}(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)*2sinh(x)cosh(x)cosh^{2}(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x)*2cosh(x)sinh(x) - 16e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x)cosh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh(x)cosh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh(x)cosh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(x)cosh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x)sinh(2x)*2 + 48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{3}(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*3sinh^{2}(x)cosh(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)sinh(x) + 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x)cosh^{2}(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x)sinh(2x)cosh^{2}(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x)sinh(2x)cosh^{2}(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh(2x)*2cosh^{2}(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x)*2cosh(x)sinh(x) - 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh^{3}(x) - 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{3}(x)cosh^{3}(x) - 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*3sinh^{2}(x)cosh(x)cosh^{3}(x) - 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)*3cosh^{2}(x)sinh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh^{2}(x) - 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)cosh^{2}(x) - 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2cosh^{2}(x) - 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)*2cosh(x)sinh(x) - 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh(x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(2x)sinh(x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(2x)cosh(2x)*2sinh(x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)cosh(x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh(x)sinh(x) + 48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh^{3}(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh^{3}(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh^{3}(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)*3cosh^{2}(x)sinh(x) - 16e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{2}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)sinh^{2}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)sinh^{2}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)*2sinh(2x)cosh(2x)*2cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{2}(2x)sinh(x) - 16e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(x) - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x)sinh(2x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x)sinh(2x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh(2x)*2 - 16e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)sinh^{2}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2sinh^{2}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)*2sinh(x)cosh(x) + 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(2x) + 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)cosh(2x) + 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2cosh(2x) + 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(2x)*2 + 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{3}(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*3sinh^{2}(2x)cosh(2x)*2 + 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2\\=& - 128e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)cosh(x) + 128e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x)cosh^{2}(x) - 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x)cosh(2x) + 192e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh(x) + 256e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x)cosh^{2}(x) - 256e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh^{3}(x) - 96e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh^{2}(x) - 128e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh(x)cosh(x) + 192e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh^{3}(x) - 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{2}(2x)cosh(x) - 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) - 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x) - 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x) + 96e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(2x) + 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(2x) + 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) + 192xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x)cosh(2x) - 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x)cosh(2x) - 256xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(2x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x)cosh(2x) + 192xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh(2x)cosh^{2}(x) - 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x)cosh(2x) + 160xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{3}(x)cosh(x) - 384xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)sinh(2x)cosh^{3}(x) - 128xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 384xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{4}(x)cosh^{2}(x) + 256xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{4}(x)cosh^{4}(x) + 352xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) - 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh(2x) + 192xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh^{2}(2x)cosh^{2}(x) + 224xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)sinh(2x)cosh(x) - 384xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{4}(x) - 128xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)cosh^{2}(x) + 192xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh^{2}(x)cosh^{2}(x) + 288xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh^{3}(x) - 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)cosh^{2}(x) - 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(2x)sinh(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{4}(x) - 128xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{3}(x)cosh^{3}(x) + 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh^{3}(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{3}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh^{2}(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) + 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)cosh(2x) - 80xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh^{2}(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{4}(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(2x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{4}(2x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)\\ \end{split}\end{equation} \]
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ xe^{cosh(2x) - {sinh(x)}^{2} - {cosh(x)}^{2}} - x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)} - x\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)} - x\right)}{dx}\\=&e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)} + xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x)) - 1\\=&e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)} - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) + 2xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) - 1\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)} - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) + 2xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) - 1\right)}{dx}\\=&e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x)) - 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(x) + 2e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) + 2xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x) + 2xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2 + 0\\=& - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)\right)}{dx}\\=& - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh(x) - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh(x) - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(x) + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x) + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2 + 16e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x)cosh^{2}(x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x)cosh^{2}(x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)*2cosh(x)sinh(x) - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)sinh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2sinh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)sinh(x) - 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))cosh^{2}(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2cosh(x)sinh(x) - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)sinh(2x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)sinh(2x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)*2cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)sinh(x) - 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x) - 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x) + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(2x)cosh(2x)*2 + 4e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))cosh(2x) + 4xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)*2\\=&48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)cosh(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x)cosh^{2}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x)cosh(2x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x)cosh^{2}(x) - 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh^{3}(x) - 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh^{2}(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh^{3}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{2}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x) + 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)cosh(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x)cosh^{2}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x)cosh(2x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x)cosh^{2}(x) - 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh^{3}(x) - 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh^{2}(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh^{3}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{2}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x) + 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)\right)}{dx}\\=&48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x)cosh^{2}(x) + 48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x)cosh^{2}(x) + 48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)*2cosh(x)sinh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)sinh(x)cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2sinh(x)cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(x)cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)sinh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))cosh^{2}(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2cosh(x)sinh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)sinh(2x)cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)sinh(2x)cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)*2cosh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)sinh(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x) - 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(2x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(2x)cosh(2x)*2 + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))cosh(2x) + 12e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)*2 - 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh(2x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh(2x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)*2cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)sinh(x) + 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x)cosh^{2}(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)sinh^{2}(x)cosh^{2}(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2sinh^{2}(x)cosh^{2}(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)*2sinh(x)cosh(x)cosh^{2}(x) + 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x)*2cosh(x)sinh(x) - 16e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x)cosh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh(x)cosh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh(x)cosh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(x)cosh(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x)sinh(2x)*2 + 48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{3}(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*3sinh^{2}(x)cosh(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)sinh(x) + 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x)cosh^{2}(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x)sinh(2x)cosh^{2}(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x)sinh(2x)cosh^{2}(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh(2x)*2cosh^{2}(x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x)*2cosh(x)sinh(x) - 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh^{3}(x) - 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{3}(x)cosh^{3}(x) - 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*3sinh^{2}(x)cosh(x)cosh^{3}(x) - 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)*3cosh^{2}(x)sinh(x) - 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh^{2}(x) - 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)cosh^{2}(x) - 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2cosh^{2}(x) - 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)*2cosh(x)sinh(x) - 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh(x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(2x)sinh(x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(2x)cosh(2x)*2sinh(x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)cosh(x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh(x)sinh(x) + 48e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh^{3}(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh^{3}(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh^{3}(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)*3cosh^{2}(x)sinh(x) - 16e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{2}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)sinh^{2}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)sinh^{2}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)*2sinh(2x)cosh(2x)*2cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{2}(2x)sinh(x) - 16e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(x) - 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{2}(x)sinh(2x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*2sinh(x)cosh(x)sinh(2x) - 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh(2x)*2 - 16e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)sinh^{2}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2sinh^{2}(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)*2sinh(x)cosh(x) + 24e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(2x) + 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x)cosh(2x) + 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2cosh(2x) + 24xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(2x)*2 + 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh^{3}(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}*3sinh^{2}(2x)cosh(2x)*2 + 8e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}(sinh(2x)*2 - 2sinh(x)cosh(x) - 2cosh(x)sinh(x))sinh(2x) + 8xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)*2\\=& - 128e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(2x)cosh(x) + 128e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x)cosh^{2}(x) - 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x)cosh(2x) + 192e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh(x) + 256e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x)cosh^{2}(x) - 256e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)cosh^{3}(x) - 96e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh^{2}(x) - 128e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh(x)cosh(x) + 192e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh^{3}(x) - 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{2}(2x)cosh(x) - 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)cosh(x) - 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh(2x) - 64e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{2}(x) + 96e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)cosh(2x) + 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(2x) + 32e^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x) + 192xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x)cosh(2x) - 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x)cosh(2x) - 256xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(2x)cosh(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x)cosh(2x) + 192xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh(2x)cosh^{2}(x) - 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x)cosh(2x) + 160xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{3}(x)cosh(x) - 384xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)sinh(2x)cosh^{3}(x) - 128xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh(x) - 384xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{4}(x)cosh^{2}(x) + 256xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{4}(x)cosh^{4}(x) + 352xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{2}(x) - 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh(2x) + 192xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh^{2}(2x)cosh^{2}(x) + 224xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(x)sinh(2x)cosh(x) - 384xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)cosh^{4}(x) - 128xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh(x) - 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)cosh^{2}(x) + 192xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh^{2}(x)cosh^{2}(x) + 288xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh(2x)cosh^{3}(x) - 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)cosh^{2}(x) - 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{3}(2x)sinh(x)cosh(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{4}(x) - 128xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh^{3}(x)cosh^{3}(x) + 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(2x)sinh(x)cosh^{3}(x) - 32xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh(x)sinh^{3}(2x)cosh(x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x)sinh^{2}(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(x) + 96xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)cosh(2x) - 80xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x)sinh^{2}(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{4}(x) + 48xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh^{2}(2x) + 64xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(2x) - 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{2}(x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}sinh^{4}(2x) + 16xe^{cosh(2x) - sinh^{2}(x) - cosh^{2}(x)}cosh(2x)\\ \end{split}\end{equation} \]