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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {x}^{3} + xsin(x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xsin(x) + x^{3}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( xsin(x) + x^{3}\right)}{dx}\\=&sin(x) + xcos(x) + 3x^{2}\\=&sin(x) + xcos(x) + 3x^{2}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( sin(x) + xcos(x) + 3x^{2}\right)}{dx}\\=&cos(x) + cos(x) + x*-sin(x) + 3*2x\\=&2cos(x) - xsin(x) + 6x\\ \end{split}\end{equation} \]





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