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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

`f(c) =g(c) `

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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