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 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {({x}^{3} - x)}^{5}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{15} - 5x^{13} + 10x^{11} - 10x^{9} + 5x^{7} - x^{5}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{15} - 5x^{13} + 10x^{11} - 10x^{9} + 5x^{7} - x^{5}\right)}{dx}\\=&15x^{14} - 5*13x^{12} + 10*11x^{10} - 10*9x^{8} + 5*7x^{6} - 5x^{4}\\=&15x^{14} - 65x^{12} + 110x^{10} - 90x^{8} + 35x^{6} - 5x^{4}\\ \end{split}\end{equation} \]





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