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Let f (x) and g (x) be two differentiabl...

Let f (x) and g (x) be two differentiable functions for `0 le x le 1` such that `f (0) = 2, g (0) = 0,f (1) = 6.` If there exists a real number c in (0,1) such that `f'(c ) = 2 g '(c ) ,` then g (1) is equal to

A

a) 3

B

b) `-1`

C

c) 4

D

d) `2`

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