?Differentiate the function.\(G(r)=\frac{3 r^{3 / 2}+r^{5 / 2}}{r}\)

Chapter 2, Problem 25

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QUESTION:

Differentiate the function.

\(G(r)=\frac{3 r^{3 / 2}+r^{5 / 2}}{r}\)

Questions & Answers

QUESTION:

Differentiate the function.

\(G(r)=\frac{3 r^{3 / 2}+r^{5 / 2}}{r}\)

ANSWER:

Step 1 of 5

The quotient rule derivative formula is used to calculate the derivative or assess the differentiation of a quotient of two functions. The derivative formula for the quotient rule is: \(\frac{d}{d x}\left(\frac{f(x)}{g(x)}\right)=\frac{\frac{d}{d x}(f(x)) \times g(x)+f(x) \times \frac{d}{d x}(g(x))}{[g(x)]^{2}}\).

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