Functions and Derivatives
Local extrema Use the sign pattern for the derivative to identify the points where ƒ has local maximum and minimum values.
In this question we have to find the points where ƒ has local maximum and minimum values given that the derivative is .
From the above equation ƒ has local maximum or minimum values when . i.e. when
. When approaches from the left side of say (),
Therefore, has local minimum at .
When approaches from the left side of say (),
Therefore, has local maximum at .
Textbook: Thomas' Calculus: Early Transcendentals
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
The answer to “Functions and DerivativesLocal extrema Use the sign pattern for the derivative to identify the points where ƒ has local maximum and minimum values.” is broken down into a number of easy to follow steps, and 23 words. The full step-by-step solution to problem: 4AAE from chapter: 4 was answered by , our top Calculus solution expert on 08/01/17, 02:37PM. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This full solution covers the following key subjects: local, maximum, Derivatives, extrema, functions. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. Since the solution to 4AAE from 4 chapter was answered, more than 235 students have viewed the full step-by-step answer.