SOLUTION: y = √x, [16, 25] Calc I its asking to find c usting MVT

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Question 230599: y = √x, [16, 25] Calc I its asking to find c usting MVT
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


That is a pretty cryptic question you have posed there. I'm guessing that you want to find a critical point of the function on the closed interval [16, 25] using the Mean Value Theorem.

The Mean Value Theorem says:

Let [a, b] be a continuous function on the closed interval [a, b] and differentiable on the open interval (a, b), where . Then there exists some in (a, b) such that:



The given interval is [16, 25] and , so:



But given

(using the power rule with )

Therefore, if



then



Solve for







John