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





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