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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(-4{x}^{3} - 328{x}^{2} - 56x + 65)}^{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -64x^{9} - 15744x^{8} - 1293696x^{7} - 35725264x^{6} - 17600064x^{5} + 17980416x^{4} + 6937204x^{3} - 3545880x^{2} - 709800x + 274625\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -64x^{9} - 15744x^{8} - 1293696x^{7} - 35725264x^{6} - 17600064x^{5} + 17980416x^{4} + 6937204x^{3} - 3545880x^{2} - 709800x + 274625\right)}{dx}\\=&-64*9x^{8} - 15744*8x^{7} - 1293696*7x^{6} - 35725264*6x^{5} - 17600064*5x^{4} + 17980416*4x^{3} + 6937204*3x^{2} - 3545880*2x - 709800 + 0\\=&-576x^{8} - 125952x^{7} - 9055872x^{6} - 214351584x^{5} - 88000320x^{4} + 71921664x^{3} + 20811612x^{2} - 7091760x - 709800\\ \end{split}\end{equation} \]





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