2.1 #10

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2.1 #10
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Consider a smooth curve with no undefined points.
(a) If it has two relative maximum points, must it have a relative minimum point?
(b) If it has two relative extreme points, must it have an inflection point?
(a) If it has two relative maximum points, must it have a relative minimum point?
A relative maximum point is a point at which the graph changes from
to
V and a relative minimum point is a point at which the graph changes from
V. Therefore in order to reach the second relative
maximum point, it
necessary for there to be a relative minimum point.
Transcribed Image Text:Question Help Consider a smooth curve with no undefined points. (a) If it has two relative maximum points, must it have a relative minimum point? (b) If it has two relative extreme points, must it have an inflection point? (a) If it has two relative maximum points, must it have a relative minimum point? A relative maximum point is a point at which the graph changes from to V and a relative minimum point is a point at which the graph changes from V. Therefore in order to reach the second relative maximum point, it necessary for there to be a relative minimum point.
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