3 At what points c does the conclusion of the Mean Value

Chapter 3, Problem 6E

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QUESTION:

At what points c does the conclusion of the Mean Value Theorem hold for \(f(x)=x^{3}\) on the interval [-10,10]?

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QUESTION:

At what points c does the conclusion of the Mean Value Theorem hold for \(f(x)=x^{3}\) on the interval [-10,10]?

ANSWER:

Solution 6E Step 1 In this problem we have to find the value of c for which the conclusion of the mean value theorem for f(x) = x holds on the interval [-10,10] Mean Value theorem: If f is defined and continuous on the closed interval [a,b]and differentiable on the open interval (a,b)then there is at least one point cin (a,b)that is f(b) f(a) a < c < bsuch that f(c) = ba

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