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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(2{x}^{3} + 4)}^{5}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 32x^{15} + 320x^{12} + 1280x^{9} + 2560x^{6} + 2560x^{3} + 1024\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 32x^{15} + 320x^{12} + 1280x^{9} + 2560x^{6} + 2560x^{3} + 1024\right)}{dx}\\=&32*15x^{14} + 320*12x^{11} + 1280*9x^{8} + 2560*6x^{5} + 2560*3x^{2} + 0\\=&480x^{14} + 3840x^{11} + 11520x^{8} + 15360x^{5} + 7680x^{2}\\ \end{split}\end{equation} \]





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