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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (0.0038{x}^{2} - 2.2687x + 345.12)(0.001{x}^{2} - 0.4028x + 41.329)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.0000038x^{4} - 0.00153064x^{3} - 0.0022687x^{3} + 0.1570502x^{2} + 0.91383236x^{2} - 93.7631023x + 0.34512x^{2} - 139.014336x + 14263.46448\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.0000038x^{4} - 0.00153064x^{3} - 0.0022687x^{3} + 0.1570502x^{2} + 0.91383236x^{2} - 93.7631023x + 0.34512x^{2} - 139.014336x + 14263.46448\right)}{dx}\\=&0.0000038*4x^{3} - 0.00153064*3x^{2} - 0.0022687*3x^{2} + 0.1570502*2x + 0.91383236*2x - 93.7631023 + 0.34512*2x - 139.014336 + 0\\=&0.0000152x^{3} - 0.00459192x^{2} - 0.0068061x^{2} + 0.3141004x + 1.82766472x + 0.69024x - 232.7774383\\ \end{split}\end{equation} \]





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