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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[` (1) `2f^'(c)""=g^'(c)` (2) `2f^'(c)""=""3g^'(c)` (3) `f^'(c)""=g^'(c)` (4) `f'(c)""=""2g'(c)`

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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