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





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