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