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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (0.0045{x}^{2} - 2.6688x + 404.31)(0.0003{x}^{2} - 0.0217x - 12.129)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.00000135x^{4} - 0.00009765x^{3} - 0.00080064x^{3} - 0.0545805x^{2} + 0.05791296x^{2} + 32.3698752x + 0.121293x^{2} - 8.773527x - 4903.87599\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.00000135x^{4} - 0.00009765x^{3} - 0.00080064x^{3} - 0.0545805x^{2} + 0.05791296x^{2} + 32.3698752x + 0.121293x^{2} - 8.773527x - 4903.87599\right)}{dx}\\=&0.00000135*4x^{3} - 0.00009765*3x^{2} - 0.00080064*3x^{2} - 0.0545805*2x + 0.05791296*2x + 32.3698752 + 0.121293*2x - 8.773527 + 0\\=&0.0000054x^{3} - 0.00029295x^{2} - 0.00240192x^{2} - 0.109161x + 0.11582592x + 0.242586x + 23.5963482\\ \end{split}\end{equation} \]





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