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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a fx 3x 2 2ax b which is 0 when These solutions represent distinct real nu...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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