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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {((3{x}^{2}) - 2x + 1)}^{4}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 81x^{8} - 216x^{7} + 324x^{6} - 312x^{5} + 214x^{4} - 104x^{3} + 36x^{2} - 8x + 1\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 81x^{8} - 216x^{7} + 324x^{6} - 312x^{5} + 214x^{4} - 104x^{3} + 36x^{2} - 8x + 1\right)}{dx}\\=&81*8x^{7} - 216*7x^{6} + 324*6x^{5} - 312*5x^{4} + 214*4x^{3} - 104*3x^{2} + 36*2x - 8 + 0\\=&648x^{7} - 1512x^{6} + 1944x^{5} - 1560x^{4} + 856x^{3} - 312x^{2} + 72x - 8\\ \end{split}\end{equation} \]





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