(Cauchy Mean Value Theorem). If f and g are continuous on [a, b] and differentiable on (a, b), there exists c e (a, b) such that [f(b) – f(a)] · g'(c) = [g(b) – g(a)] · f'(c).

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(Cauchy Mean Value Theorem). If f and g are continuous on [a, b] and differentiable<br>on (a, b), there exists c e (a, b) such that<br>[f(b) – f(a)] · g'(c) = [g(b) – g(a)] · f'(c).<br>

Extracted text: (Cauchy Mean Value Theorem). If f and g are continuous on [a, b] and differentiable on (a, b), there exists c e (a, b) such that [f(b) – f(a)] · g'(c) = [g(b) – g(a)] · f'(c).

Extracted text: Prove the Cauchy Mean Value Theorem

Jun 05, 2022

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(Cauchy Mean Value Theorem). If f and g are continuous on [a, b] and differentiable on (a, b), there exists c e (a, b) such that [f(b) – f(a)] · g'(c) = [g(b) – g(a)] · f'(c).

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