Consider the general cubic polynomial f(x) = x 3 + ax 2 + bx + c, where

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Consider the general cubic polynomial f(x) = x³ + ax² + bx + c, where a, b, and c are real numbers.

a. Prove that f has exactly one local maximum and one local minimum provided that a² > 3b.

b. Prove that f has no extreme values if a² < 3b.

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Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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Question Posted: Mar 05, 2019 07:11 AM

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Consider the general cubic polynomial f(x) = x 3 + ax 2 + bx + c, where

Question:

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a fx 3x 2 2ax b which is 0 when These solutions represent distinct real nu...View the full answer

Calculus Early Transcendentals

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