Question: Suppose that f C[a, b] is differentiable on the open interval (a, b). Then there exists some x (a, b) such that f(b)

Suppose that f ∈ C[a, b] is differentiable on the open interval (a, b). Then there exists some x ∈ (a, b) such that
f(b) - f(a) = f′[x](b - a)

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