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 13 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 13th\ derivative\ of\ function\ {x}^{2}(R + sqrt({R}^{2} - {x}^{2}))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = Rx^{2} + x^{2}sqrt(R^{2} - x^{2})\\\\ &\color{blue}{The\ 13th\ derivative\ of\ function:} \\=& - \frac{2630046694275x^{11}}{(R^{2} - x^{2})^{\frac{21}{2}}} - \frac{2513125865250x^{9}}{(R^{2} - x^{2})^{\frac{19}{2}}} - \frac{1317434493375x^{7}}{(R^{2} - x^{2})^{\frac{17}{2}}} - \frac{365229364500x^{5}}{(R^{2} - x^{2})^{\frac{15}{2}}} - \frac{46356034725x^{3}}{(R^{2} - x^{2})^{\frac{13}{2}}} - \frac{1787836050x}{(R^{2} - x^{2})^{\frac{11}{2}}} - \frac{1429928299800x^{13}}{(R^{2} - x^{2})^{\frac{23}{2}}} - \frac{316234143225x^{15}}{(R^{2} - x^{2})^{\frac{25}{2}}}\\ \end{split}\end{equation} \]





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