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Answer: Derivative formulas Evaluate the following

Chapter 7, Problem 50RE

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QUESTION:

49-52. Derivative formulas Evaluate the following derivatives. Express your answers in terms of f, g, f’ and g’.

\(\frac{d}{d x} \sqrt{\frac{f(x)}{g(x)}}\)

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QUESTION:

49-52. Derivative formulas Evaluate the following derivatives. Express your answers in terms of f, g, f’ and g’.

\(\frac{d}{d x} \sqrt{\frac{f(x)}{g(x)}}\)

ANSWER:

Solution Step 1: Given d [x f(x)] dx g(x) We know that d dv du dx (uv )=u dx + v dx v u dv d ( ) = dx dx dx v v2

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