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Then a # c in (a, b) such that f (c) = 0.
4.2 Mean Value Thm Rolle’s Theorem: f is continuous on [a, b] f is differentiable on (a, b) f (a) = f (b) Then a # c in (a, b) such that f (c) = 0.
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Ex 1: Find all c’s that satisfy Rolle’s Thm: 6 x 0
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Then a # c in (a, b) such that
Mean Value Theorem f is continuous on [a, b] f is differentiable on (a, b) Then a # c in (a, b) such that
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Ex 2: Verify that f(x) satisfies the MVT in the interval
Ex 2: Verify that f(x) satisfies the MVT in the interval. Then find all c’s that satisfy the MVT: 0 x 2
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HW – 4.2 pg , 3, 5, 10, 11, 13, 15, 23, 25, 35
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