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