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 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ (-2)e^{-3x} - 4e^{-5x}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -2e^{-3x} - 4e^{-5x}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -2e^{-3x} - 4e^{-5x}\right)}{dx}\\=&-2e^{-3x}*-3 - 4e^{-5x}*-5\\=&6e^{-3x} + 20e^{-5x}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 6e^{-3x} + 20e^{-5x}\right)}{dx}\\=&6e^{-3x}*-3 + 20e^{-5x}*-5\\=&-18e^{-3x} - 100e^{-5x}\\ \end{split}\end{equation} \]





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