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