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





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