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

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