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If f and g are differentiable functions ...

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

A

`2 f'(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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