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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(6x - 5)}^{2}{(4{x}^{2} + 4)}^{5}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 36864x^{12} + 209920x^{10} - 61440x^{11} + 496640x^{8} - 307200x^{9} - 614400x^{7} + 624640x^{6} - 614400x^{5} + 440320x^{4} - 307200x^{3} + 164864x^{2} - 61440x + 25600\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 36864x^{12} + 209920x^{10} - 61440x^{11} + 496640x^{8} - 307200x^{9} - 614400x^{7} + 624640x^{6} - 614400x^{5} + 440320x^{4} - 307200x^{3} + 164864x^{2} - 61440x + 25600\right)}{dx}\\=&36864*12x^{11} + 209920*10x^{9} - 61440*11x^{10} + 496640*8x^{7} - 307200*9x^{8} - 614400*7x^{6} + 624640*6x^{5} - 614400*5x^{4} + 440320*4x^{3} - 307200*3x^{2} + 164864*2x - 61440 + 0\\=&442368x^{11} + 2099200x^{9} - 675840x^{10} + 3973120x^{7} - 2764800x^{8} - 4300800x^{6} + 3747840x^{5} - 3072000x^{4} + 1761280x^{3} - 921600x^{2} + 329728x - 61440\\ \end{split}\end{equation} \]





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