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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 4sin({x}^{2})cos(7x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 4sin(x^{2})cos(7x)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 4sin(x^{2})cos(7x)\right)}{dx}\\=&4cos(x^{2})*2xcos(7x) + 4sin(x^{2})*-sin(7x)*7\\=&8xcos(x^{2})cos(7x) - 28sin(7x)sin(x^{2})\\ \end{split}\end{equation} \]





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