# Calculus

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1. Use the Mean Value Theorem to find an x-value where the instantaneous slope=average slope over the given interval:
f(x)=(9-x^2)^(1/2) on [-3,2]
I have done three chapters of Calculus already and I never have had to check for extraneous roots. So, my question is, when exactly do I check for extraneous roots? (ex/ when I was looking for critical points and I root my answer, I didn't have to check for extraneous roots)

2. Can someone show me how e^(ln((e^5-1)/5))=(e^5-1)/5?

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