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Finding a Critical Point

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For the function ff defined by f(x)=1x+4−2x−3f(x)=\frac{1}{\sqrt{x+4}}-\frac{2}{x-3}, find the value of xx on the interval x>3x>3 such that f′(x)=0f'(x)=0.

A

x≈42.00x \approx 42.00

B

x≈7.45x \approx 7.45

C

x≈32.60x \approx 32.60

D

x≈15.30x \approx 15.30

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