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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 ∈ ]0, 1[

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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 ∈ ]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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Correct option (d) f'(c) = 2g'(c)

Explanation:

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