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