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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ abs + (sqrt(\frac{(36 - 9{x}^{2})}{4}) + 3x - 10)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = abs + sqrt(\frac{-9}{4}x^{2} + 9) + 3x - 10\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( abs + sqrt(\frac{-9}{4}x^{2} + 9) + 3x - 10\right)}{dx}\\=&0 + \frac{(\frac{-9}{4}*2x + 0)*\frac{1}{2}}{(\frac{-9}{4}x^{2} + 9)^{\frac{1}{2}}} + 3 + 0\\=&\frac{-9x}{4(\frac{-9}{4}x^{2} + 9)^{\frac{1}{2}}} + 3\\ \end{split}\end{equation} \]





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