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 $c \in ]0, 1[$

Question

( A ) $2f'(c) = g'(c)$
( B ) $f'(c) = g'(c)$
( C ) $2f'(c) = 3g'(c)$
( D ) $f'(c) = 2g'(c)$