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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 10th\ derivative\ of\ function\ 8{x}^{45} - ln(5{x}^{4} - 7)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 8x^{45} - ln(5x^{4} - 7)\\\\ &\color{blue}{The\ 10th\ derivative\ of\ function:} \\=&92612412987494400x^{35} + \frac{3715891200000000000x^{30}}{(5x^{4} - 7)^{10}} - \frac{2786918400000000000x^{26}}{(5x^{4} - 7)^{9}} + \frac{824463360000000000x^{22}}{(5x^{4} - 7)^{8}} - \frac{121347072000000000x^{18}}{(5x^{4} - 7)^{7}} + \frac{9180864000000000x^{14}}{(5x^{4} - 7)^{6}} - \frac{329712768000000x^{10}}{(5x^{4} - 7)^{5}} + \frac{4390848000000x^{6}}{(5x^{4} - 7)^{4}} - \frac{9979200000x^{2}}{(5x^{4} - 7)^{3}}\\ \end{split}\end{equation} \]





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