There are 1 questions in this calculation: for each question, the 1 derivative of c is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ c{{a}^{b}}^{x}\ with\ respect\ to\ c：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( c{{a}^{b}}^{x}\right)}{dc}\\=&{{a}^{b}}^{x} + c({{a}^{b}}^{x}((0)ln({a}^{b}) + \frac{(x)(({a}^{b}((0)ln(a) + \frac{(b)(0)}{(a)})))}{({a}^{b})}))\\=&{{a}^{b}}^{x}\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！