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





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