7. (8 points) Let f'(x) = x√xand f(1) = 2. Find f(x).

詳解 (共 1 筆)

Chia Chung

詳解 #5583832

2022/08/08

f'(x)=x3/2 f(x)=∫x3/...

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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

7. (8 points) Let f'(x) = x√xand f(1) = 2. Find f(x).

詳解 (共 1 筆)

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