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f(x) and g(x) are differentiable functio...

f(x) and g(x) are differentiable functions for `0 <= x <= 2` such that `f(0) = 5, g(0) = 0, f(2)= 8,g(2) = 1.` Show that there exists a number c satisfying `0 < c < 2 and f'(c)=3 g'(c).`

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