Suppose f is differentiable on (-, ) and assume it has a local extreme value at the

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Suppose f is differentiable on (-∞, ∞) and assume it has a local extreme value at the point x = 2, where f(2) = 0. Let g(x) = xf(x) + 1 and let h(x) = xf(x) + x + 1, for all values of x.

a. Evaluate g(2), h(2), g'(2), and h'(2).

b. Does either g or h have a local extreme value at x = 2? Explain.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Suppose f is differentiable on (-, ) and assume it has a local extreme value at the

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a Note that since there is a local extreme value at 2 for f and ...View the full answer

Calculus Early Transcendentals

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