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Mean Value Theorem
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Calculus: We state and prove the Mean Value Theorem: If f is continuous on [a,b] and differentiable on (a,b), then there exists an x in (a, b) such that f'(x) = (f(b) - f(a))/(b-a). Example given are (a) f(x) = x^2 - 4x + 5 on [0, 3], and (b) f(x) = |x| on [-1. 3].
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