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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -(x + 6) + sqrt((x - 2)(x - 18))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -x + sqrt(x^{2} - 20x + 36) - 6\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -x + sqrt(x^{2} - 20x + 36) - 6\right)}{dx}\\=&-1 + \frac{(2x - 20 + 0)*\frac{1}{2}}{(x^{2} - 20x + 36)^{\frac{1}{2}}} + 0\\=&\frac{x}{(x^{2} - 20x + 36)^{\frac{1}{2}}} - \frac{10}{(x^{2} - 20x + 36)^{\frac{1}{2}}} - 1\\ \end{split}\end{equation} \]





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