3) Use the information below about the functions) COS X Let h(x) = (a) Find h'(x) = (b) Find h' (0) = .f(x) X -2 -1 0 -lo 1 2 f(x) f'(x) 3 -5 -9 5 3 -5 5492/000 8 Explain why.

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
3) Use the information below about the functions fand h to answer the following
COS X
Let
h(x)=
(a) Find h'(x) =
=
(b) Find h'(0) =
.f(x)
X
-2
-1
0
1
2
f(x)
3
-9
5
3
-5
f'(x)
-5
4
9
2
8
(c) Based on your answer for (b), determine if x = 0 is a critical number of h(x) or not. Explain why.
Transcribed Image Text:3) Use the information below about the functions fand h to answer the following COS X Let h(x)= (a) Find h'(x) = = (b) Find h'(0) = .f(x) X -2 -1 0 1 2 f(x) 3 -9 5 3 -5 f'(x) -5 4 9 2 8 (c) Based on your answer for (b), determine if x = 0 is a critical number of h(x) or not. Explain why.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
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