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





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