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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

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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