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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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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