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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2sqrt(x - 1) + 3sqrt(20 - 5x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2sqrt(x - 1) + 3sqrt(-5x + 20)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2sqrt(x - 1) + 3sqrt(-5x + 20)\right)}{dx}\\=&\frac{2(1 + 0)*\frac{1}{2}}{(x - 1)^{\frac{1}{2}}} + \frac{3(-5 + 0)*\frac{1}{2}}{(-5x + 20)^{\frac{1}{2}}}\\=&\frac{1}{(x - 1)^{\frac{1}{2}}} - \frac{15}{2(-5x + 20)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]





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