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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

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

B

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