Show that if a cubic polynomial p(x) x3 + ax? + bx + c has a local maximum and a local minimum, then the midpoint of the line segment that connects the local high point to the local low point is a point of inflection.
Show that if a cubic polynomial p(x) x3 + ax? + bx + c has a local maximum and a local minimum, then the midpoint of the line segment that connects the local high point to the local low point is a point of inflection.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section: Chapter Questions
Problem 14T
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