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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (sin(2)x{(cos(x))}^{4} - 2{(cos(x))}^{2} + 3){\frac{1}{(cos(x))}}^{4}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xsin(2) - \frac{2}{cos^{2}(x)} + \frac{3}{cos^{4}(x)}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( xsin(2) - \frac{2}{cos^{2}(x)} + \frac{3}{cos^{4}(x)}\right)}{dx}\\=&sin(2) + xcos(2)*0 - \frac{2*2sin(x)}{cos^{3}(x)} + \frac{3*4sin(x)}{cos^{5}(x)}\\=& - \frac{4sin(x)}{cos^{3}(x)} + \frac{12sin(x)}{cos^{5}(x)} + sin(2)\\ \end{split}\end{equation} \]





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