There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {sin(x)}^{{cos(x)}^{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {sin(x)}^{cos^{2}(x)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {sin(x)}^{cos^{2}(x)}\right)}{dx}\\=&({sin(x)}^{cos^{2}(x)}((-2cos(x)sin(x))ln(sin(x)) + \frac{(cos^{2}(x))(cos(x))}{(sin(x))}))\\=&-2{sin(x)}^{cos^{2}(x)}ln(sin(x))sin(x)cos(x) + \frac{{sin(x)}^{cos^{2}(x)}cos^{3}(x)}{sin(x)}\\ \end{split}\end{equation} \]

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