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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{-{(cos(x))}^{(\frac{3l}{2})}}{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{-1}{3}{cos(x)}^{(\frac{3}{2}l)}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{-1}{3}{cos(x)}^{(\frac{3}{2}l)}\right)}{dx}\\=&\frac{-1}{3}({cos(x)}^{(\frac{3}{2}l)}((0)ln(cos(x)) + \frac{(\frac{3}{2}l)(-sin(x))}{(cos(x))}))\\=&\frac{l{cos(x)}^{(\frac{3}{2}l)}sin(x)}{2cos(x)}\\ \end{split}\end{equation} \]





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