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