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 M is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(wwMM)}{(wwMM + r(r*2 + r))}\ with\ respect\ to\ M:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{w^{2}M^{2}}{(w^{2}M^{2} + 3r^{2})}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{w^{2}M^{2}}{(w^{2}M^{2} + 3r^{2})}\right)}{dM}\\=&(\frac{-(w^{2}*2M + 0)}{(w^{2}M^{2} + 3r^{2})^{2}})w^{2}M^{2} + \frac{w^{2}*2M}{(w^{2}M^{2} + 3r^{2})}\\=&\frac{-2w^{4}M^{3}}{(w^{2}M^{2} + 3r^{2})^{2}} + \frac{2w^{2}M}{(w^{2}M^{2} + 3r^{2})}\\ \end{split}\end{equation} \]





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