There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (sin(x)){\frac{1}{(cos(x))}}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{sin(x)}{cos^{2}(x)}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{sin(x)}{cos^{2}(x)}\right)}{dx}\\=&\frac{cos(x)}{cos^{2}(x)} + \frac{sin(x)*2sin(x)}{cos^{3}(x)}\\=&\frac{1}{cos(x)} + \frac{2sin^{2}(x)}{cos^{3}(x)}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !