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 10 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 10th\ derivative\ of\ function\ \frac{{x}^{4}}{(1 + {x}^{3})}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x^{4}}{(x^{3} + 1)}\\\\ &\color{blue}{The\ 10th\ derivative\ of\ function:} \\=&\frac{214277011200x^{24}}{(x^{3} + 1)^{11}} - \frac{928533715200x^{21}}{(x^{3} + 1)^{10}} + \frac{1634854233600x^{18}}{(x^{3} + 1)^{9}} - \frac{1494648288000x^{15}}{(x^{3} + 1)^{8}} + \frac{750410438400x^{12}}{(x^{3} + 1)^{7}} - \frac{200266214400x^{9}}{(x^{3} + 1)^{6}} + \frac{24929856000x^{6}}{(x^{3} + 1)^{5}} - \frac{1026950400x^{3}}{(x^{3} + 1)^{4}} + \frac{3628800}{(x^{3} + 1)^{3}}\\ \end{split}\end{equation} \]





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