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





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