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





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