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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{3} - 9{x}^{2}cos(a) + 48xcos(b) + 18{(sin(a))}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - 9x^{2}cos(a) + 48xcos(b) + x^{3} + 18sin^{2}(a)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - 9x^{2}cos(a) + 48xcos(b) + x^{3} + 18sin^{2}(a)\right)}{dx}\\=& - 9*2xcos(a) - 9x^{2}*-sin(a)*0 + 48cos(b) + 48x*-sin(b)*0 + 3x^{2} + 18*2sin(a)cos(a)*0\\=& - 18xcos(a) + 48cos(b) + 3x^{2}\\ \end{split}\end{equation} \]





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