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 ϵ (0, 1)

1
2f'(c) = g'(c)
2
2f'(c) = 3g'(c)
3
f'(c) = g'(c)
4
f'(c) = 2g'(c)

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