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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{-(37333{x}^{4} - 2723322{x}^{3} + 72316555{x}^{2} - 918166350x)}{100000000}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{-37333}{100000000}x^{4} + \frac{1361661}{50000000}x^{3} - \frac{14463311}{20000000}x^{2} + \frac{18363327}{2000000}x\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{-37333}{100000000}x^{4} + \frac{1361661}{50000000}x^{3} - \frac{14463311}{20000000}x^{2} + \frac{18363327}{2000000}x\right)}{dx}\\=&\frac{-37333}{100000000}*4x^{3} + \frac{1361661}{50000000}*3x^{2} - \frac{14463311}{20000000}*2x + \frac{18363327}{2000000}\\=&\frac{-37333x^{3}}{25000000} + \frac{4084983x^{2}}{50000000} - \frac{14463311x}{10000000} + \frac{18363327}{2000000}\\ \end{split}\end{equation} \]





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