There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ tan(sin(x)) + sin(x) - 2x\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( tan(sin(x)) + sin(x) - 2x\right)}{dx}\\=&sec^{2}(sin(x))(cos(x)) + cos(x) - 2\\=&cos(x)sec^{2}(sin(x)) + cos(x) - 2\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( cos(x)sec^{2}(sin(x)) + cos(x) - 2\right)}{dx}\\=&-sin(x)sec^{2}(sin(x)) + cos(x)*2sec^{2}(sin(x))tan(sin(x))cos(x) + -sin(x) + 0\\=&-sin(x)sec^{2}(sin(x)) + 2cos^{2}(x)tan(sin(x))sec^{2}(sin(x)) - sin(x)\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !