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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (e^{-1000}x)(1800000{x}^{2} + 2490x + 3)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 1800000x^{3}e^{-1000} + 2490x^{2}e^{-1000} + 3xe^{-1000}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 1800000x^{3}e^{-1000} + 2490x^{2}e^{-1000} + 3xe^{-1000}\right)}{dx}\\=&1800000*3x^{2}e^{-1000} + 1800000x^{3}e^{-1000}*0 + 2490*2xe^{-1000} + 2490x^{2}e^{-1000}*0 + 3e^{-1000} + 3xe^{-1000}*0\\=&5400000x^{2}e^{-1000} + 4980xe^{-1000} + 3e^{-1000}\\ \end{split}\end{equation} \]





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