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





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