There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -sin((\frac{1}{10})x) - {x}^{\frac{1}{3}}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -sin(\frac{1}{10}x) - x^{\frac{1}{3}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -sin(\frac{1}{10}x) - x^{\frac{1}{3}}\right)}{dx}\\=&-cos(\frac{1}{10}x)*\frac{1}{10} - \frac{\frac{1}{3}}{x^{\frac{2}{3}}}\\=&\frac{-cos(\frac{1}{10}x)}{10} - \frac{1}{3x^{\frac{2}{3}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !