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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

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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