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If f and g are differentiable function i...

If f and g are differentiable function in (0,1] satisfying f(0)=2=g(1),g(0)=0 and f(1)=6, then for some `c in (0,1)`.

A

`2f'(c)=g'(c)`

B

`2f'(c)=3g'(c)`

C

`f'(c)=g'(c)`

D

`f'(c)=2g'(c)`

Text Solution

Verified by Experts

The correct Answer is:
D
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