There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(5sin(x))}^{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (5sin(x))^{x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (5sin(x))^{x}\right)}{dx}\\=&((5sin(x))^{x}((1)ln(5sin(x)) + \frac{(x)(5cos(x))}{(5sin(x))}))\\=&(5sin(x))^{x}ln(5sin(x)) + \frac{x(5sin(x))^{x}cos(x)}{sin(x)}\\ \end{split}\end{equation} \]

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