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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (0.0032{x}^{2} - 1.92x + 294.08)(0.001{x}^{2} - 0.5487x + 81.074)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.0000032x^{4} - 0.00175584x^{3} - 0.00192x^{3} + 0.2594368x^{2} + 1.053504x^{2} - 155.66208x + 0.29408x^{2} - 161.361696x + 23842.24192\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.0000032x^{4} - 0.00175584x^{3} - 0.00192x^{3} + 0.2594368x^{2} + 1.053504x^{2} - 155.66208x + 0.29408x^{2} - 161.361696x + 23842.24192\right)}{dx}\\=&0.0000032*4x^{3} - 0.00175584*3x^{2} - 0.00192*3x^{2} + 0.2594368*2x + 1.053504*2x - 155.66208 + 0.29408*2x - 161.361696 + 0\\=&0.0000128x^{3} - 0.00526752x^{2} - 0.00576x^{2} + 0.5188736x + 2.107008x + 0.58816x - 317.023776\\ \end{split}\end{equation} \]





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