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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt(\frac{1}{({x}^{2})} - \frac{1}{({x}^{4})})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sqrt(\frac{1}{x^{2}} - \frac{1}{x^{4}})\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( sqrt(\frac{1}{x^{2}} - \frac{1}{x^{4}})\right)}{dx}\\=&\frac{(\frac{-2}{x^{3}} - \frac{-4}{x^{5}})*\frac{1}{2}}{(\frac{1}{x^{2}} - \frac{1}{x^{4}})^{\frac{1}{2}}}\\=&\frac{-1}{(\frac{1}{x^{2}} - \frac{1}{x^{4}})^{\frac{1}{2}}x^{3}} + \frac{2}{(\frac{1}{x^{2}} - \frac{1}{x^{4}})^{\frac{1}{2}}x^{5}}\\ \end{split}\end{equation} \]





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