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





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