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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 4sqrt(x)*2 - 2x + sqrt(-x)*2 + 2x + 4\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 8sqrt(x) + 2sqrt(-x) + 4\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 8sqrt(x) + 2sqrt(-x) + 4\right)}{dx}\\=&\frac{8*\frac{1}{2}}{(x)^{\frac{1}{2}}} + \frac{2*-\frac{1}{2}}{(-x)^{\frac{1}{2}}} + 0\\=&\frac{5}{x^{\frac{1}{2}}}\\ \end{split}\end{equation} \]





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