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Instantaneous Rate of Change of a Revenue Function

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The revenue from selling x hundred units of a product is modeled by the function R(x)=xx+20x+5R(x)= \frac{x\sqrt{x+20}}{x+5}. For which value of x is the instantaneous rate of change of the revenue, R′(x)R'(x), equal to zero?

A

x=0x = 0

B

No real critical point\text{No real critical point}

C

x=−10x = -10

D

x=−5x = -5

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