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





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