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





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