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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {((36{x}^{3}) - 9)}^{\frac{1}{3}}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (36x^{3} - 9)^{\frac{1}{3}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( (36x^{3} - 9)^{\frac{1}{3}}\right)}{dx}\\=&(\frac{\frac{1}{3}(36*3x^{2} + 0)}{(36x^{3} - 9)^{\frac{2}{3}}})\\=&\frac{36x^{2}}{(36x^{3} - 9)^{\frac{2}{3}}}\\ \end{split}\end{equation} \]





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