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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(x + 3)}^{2}{(x - 2)}^{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{5} - 15x^{3} + 10x^{2} + 60x - 72\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{5} - 15x^{3} + 10x^{2} + 60x - 72\right)}{dx}\\=&5x^{4} - 15*3x^{2} + 10*2x + 60 + 0\\=&5x^{4} - 45x^{2} + 20x + 60\\ \end{split}\end{equation} \]





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