11. (10 points) Let f'(x) exist everywhere. If f(2) = 8 and f'(x) ≤ 5 for all x. Use the mean value theorem to answer how small can f(0) possibly be?

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Chia Chung

詳解 #5844742

2023/06/12

<Solution>{f(2...

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12. (10 points) Let , x≥ 0. Use the mean value theorem for definite integral and the limit-definition of derivative to find f'(x). (Mean Value Theorem) Suppose f : [a,b] → IR is continuous on fa, b and differentiable on (a,b). Then there exists c (a,b) such that(Mean Value Theorem for Definite Integral) Suppose f : [a,b] → IR is a continuous function. Then there exists c [a,b] such that

11. (10 points) Let f'(x) exist everywhere. If f(2) = 8 and f'(x) ≤ 5 for all x. Use the mean value theorem to answer how small can f(0) possibly be?

詳解 (共 1 筆)

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