Use the second derivative test to find the relative extrema of ƒ (x) = √√2x + 2 cos x on the interval [0, 2π]. ㅠ Relative Maximum at x = ☎ because ƒ¹ (7) = 0 and ƒ/1 (7) > 0. Relative Minimum at x = Relative Minimum at x = 4 Relative Maximum at x = O Relative Maximum at x = Relative Minimum at x = Relative Maximum at x = 3π 4 Relative Minimum at x = because ƒ¹ (7) = 0 and ƒ11 (7) < 0. because f(³) = 0 and ƒ11 (³) > 0. 3π 4 5п 4 3π 4 because f1 (³) = 0 and f11 (³1) < 0. 4 3π 4 because ƒ1 (57) because ƒ1 (3³) = = 0 and f11 (5) < 0. = 0 and f11 (³″) > 0. because f¹ (1) = 0 and ƒ11 (7) < 0. because f(3) = 0 and f/l (3) > 0.

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...
icon
Related questions
Question
Use the second derivative test to find the relative extrema of
f(x) = √√2x + 2 cos x on the interval [0, 2π].
Relative Maximum at x =
Relative Minimum at x
=
Relative Minimum at x =
Relative Maximum at x =
Relative Maximum at x =
Relative Minimum at x =
Relative Maximum at x =
Relative Minimum at x =
3π
4
4
because f() = 0 and fll (7) < 0.
3π
because f1 (³) = 0 and f11 (³)
3π
4
5π
4
3π
4
because f1 (1) = 0 and ƒ/1 (7) > 0.
because f(³) = 0 and f11 (³) < 0.
3π
4
because ƒ/ (57) = 0 and f11 (5¹) < 0.
4
4
3π
because f1 (³) = 0 and f11 (³1) > 0.
because f1 (1)
because f1 (
3π
> 0.
=
0 and fl() <0.
=
3π
0 and fll (³) > 0.
Transcribed Image Text:Use the second derivative test to find the relative extrema of f(x) = √√2x + 2 cos x on the interval [0, 2π]. Relative Maximum at x = Relative Minimum at x = Relative Minimum at x = Relative Maximum at x = Relative Maximum at x = Relative Minimum at x = Relative Maximum at x = Relative Minimum at x = 3π 4 4 because f() = 0 and fll (7) < 0. 3π because f1 (³) = 0 and f11 (³) 3π 4 5π 4 3π 4 because f1 (1) = 0 and ƒ/1 (7) > 0. because f(³) = 0 and f11 (³) < 0. 3π 4 because ƒ/ (57) = 0 and f11 (5¹) < 0. 4 4 3π because f1 (³) = 0 and f11 (³1) > 0. because f1 (1) because f1 ( 3π > 0. = 0 and fl() <0. = 3π 0 and fll (³) > 0.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning