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f: [0.4]-> R is a differentiable functio...

`f: [0.4]-> R` is a differentiable function. Then prove that for some `a,bin(0,4)`, `f^2(4)-f^2(0)=8f'(a)*f(b)`.

A

`8 f'(a) . f(b)`

B

`4f(b). f(a)`

C

`2f'(b). f(a)`

D

`f(b). f(a)`

Text Solution

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The correct Answer is:
A
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