6. (8 points) Let f(x)=xg(x),g(3)=5,and g'(3)= 2. Find f'(3).

詳解 (共 1 筆)

Chia Chung

詳解 #5583829

2022/08/08

Chain rule f(x)=xg(x...

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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

6. (8 points) Let f(x)=xg(x),g(3)=5,and g'(3)= 2. Find f'(3).

詳解 (共 1 筆)

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