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 9 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 9th\ derivative\ of\ function\ (cos(5{x}^{2}) - 1){\frac{1}{x}}^{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{cos(5x^{2})}{x^{3}} - \frac{1}{x^{3}}\\\\ &\color{blue}{The\ 9th\ derivative\ of\ function:} \\=&\frac{-19958400cos(5x^{2})}{x^{12}} - \frac{97977600sin(5x^{2})}{x^{10}} + \frac{240408000cos(5x^{2})}{x^{8}} + \frac{393120000sin(5x^{2})}{x^{6}} - \frac{481950000cos(5x^{2})}{x^{4}} - \frac{472500000sin(5x^{2})}{x^{2}} + 378000000cos(5x^{2}) + 540000000x^{2}sin(5x^{2}) + 900000000x^{4}cos(5x^{2}) - 1000000000x^{6}sin(5x^{2}) + \frac{19958400}{x^{12}}\\ \end{split}\end{equation} \]





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