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





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