×
Log in to StudySoup
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.1 - Problem 8e
Join StudySoup for FREE
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.1 - Problem 8e

Already have an account? Login here
×
Reset your password

Sketch the graph of a function f that has a local minimum

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 8E Chapter 4.1

Calculus: Early Transcendentals | 1st Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

4 5 1 292 Reviews
15
1
Problem 8E

Sketch the graph of a fun?ction ?f that has a local minimum value at a point w? ? er? '? )is undefined.

Step-by-Step Solution:
Step 1 of 3

STEP_BY_STEP SOLUTION Step-1 be defined on the interval [a,b] , and x be0the interior point on [a,b]. A function f has a local maximum or relative maximum at a point x if the values 0 f(x) of f for x ‘near’ x a0e all less than f(x ). 0 That is , f(x) f(x 0Let f Thus, the graph of f nea r x has a peak at x . 0 0 A function f has a local minimum or relative minimum at a point x if th0 values f(x) of f for x ‘near’ x a0 re all greater than f(0 ) . That is f(x) f(x ). 0 Thus, the graph of f near x h0s a trough at x . (T0 make the distinction clear, sometimes the ‘plain’ maximum and minimum are called absolute maximum and minimum). Step_2 Let f be a continuous function defined on an open interval containing a number ‘c’.The number ‘c’ is critical value ( or critical number ). If f (c) = 0 1 or f (c) is undefined. A critical point on that graph of f has the form (c,f(c)). Step-3 Example-1 Graph of the given data is ; The given function is y = f(x) =|x| = { x , if x 0 = { -x , if x<0. 1 Here f (x) is does not exist , since left hand derivative is -1 , and right hand derivative is 1. But , the function attains the local minimum at x=0. Example-2 In the given graph it is clear that the function is continuous . The function has local minimum at x= c , and at ‘c’ , f (x) does not exist.

Step 2 of 3

Chapter 4.1, Problem 8E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

The full step-by-step solution to problem: 8E from chapter: 4.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “Sketch the graph of a fun?ction ?f that has a local minimum value at a point w? ? er? '? )is undefined.” is broken down into a number of easy to follow steps, and 22 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 8E from 4.1 chapter was answered, more than 416 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: ction, Fun, graph, local, minimum. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Sketch the graph of a function f that has a local minimum