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 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {{x}^{-15}}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{x^{30}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{x^{30}}\right)}{dx}\\=&\frac{-30}{x^{31}}\\=&\frac{-30}{x^{31}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-30}{x^{31}}\right)}{dx}\\=&\frac{-30*-31}{x^{32}}\\=&\frac{930}{x^{32}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{930}{x^{32}}\right)}{dx}\\=&\frac{930*-32}{x^{33}}\\=&\frac{-29760}{x^{33}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{-29760}{x^{33}}\right)}{dx}\\=&\frac{-29760*-33}{x^{34}}\\=&\frac{982080}{x^{34}}\\ \end{split}\end{equation} \]





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