There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {cos(x)}^{\frac{1}{3}}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( {cos(x)}^{\frac{1}{3}}\right)}{dx}\\=&({cos(x)}^{\frac{1}{3}}((0)ln(cos(x)) + \frac{(\frac{1}{3})(-sin(x))}{(cos(x))}))\\=&\frac{-sin(x)}{3cos^{\frac{2}{3}}(x)}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !