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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(\frac{x}{p})}^{(\frac{({p}^{2})}{2})}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (\frac{x}{p})^{(\frac{1}{2}p^{2})}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( (\frac{x}{p})^{(\frac{1}{2}p^{2})}\right)}{dx}\\=&((\frac{x}{p})^{(\frac{1}{2}p^{2})}((0)ln(\frac{x}{p}) + \frac{(\frac{1}{2}p^{2})(\frac{1}{p})}{(\frac{x}{p})}))\\=&\frac{p^{2}(\frac{x}{p})^{(\frac{1}{2}p^{2})}}{2x}\\ \end{split}\end{equation} \]





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