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





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