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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]`-

A

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

B

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

C

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

D

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

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