There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 5({x}^{3}) - {2}^{x} + 3({e}^{x})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 5x^{3} - {2}^{x} + 3{e}^{x}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 5x^{3} - {2}^{x} + 3{e}^{x}\right)}{dx}\\=&5*3x^{2} - ({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)})) + 3({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)}))\\=&15x^{2} - {2}^{x}ln(2) + 3{e}^{x}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !