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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (21{x}^{2} + 10x - 62)cos(5x + 3)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 21x^{2}cos(5x + 3) + 10xcos(5x + 3) - 62cos(5x + 3)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 21x^{2}cos(5x + 3) + 10xcos(5x + 3) - 62cos(5x + 3)\right)}{dx}\\=&21*2xcos(5x + 3) + 21x^{2}*-sin(5x + 3)(5 + 0) + 10cos(5x + 3) + 10x*-sin(5x + 3)(5 + 0) - 62*-sin(5x + 3)(5 + 0)\\=&42xcos(5x + 3) - 105x^{2}sin(5x + 3) + 10cos(5x + 3) - 50xsin(5x + 3) + 310sin(5x + 3)\\ \end{split}\end{equation} \]





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