For the followings problems, consider a function h that is twice differentiable. This means that his differentiable and its derivative, h', is also differentiable. Some values of h' (x) are given in the table below: (-8,-6) Determine all intervals in which h must have a critical point. ✔ (-6,-2) (-2,2) ✓(2,6) X h'(x) ✔ (6,8) -8-6 -4 -2 0 3 7 0 -3 -5 6 8 6 24 -40 -2

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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For the followings problems, consider a function h that is twice differentiable. This means that h is
differentiable and its derivative, h', is also differentiable. Some values of h' (x) are given in the table
below:
(-8,-6)
Determine all intervals in which h must have a critical point.
✓(-6,-2)
(-2,2)
✔ (2,6)
✔ (6,8)
(-8,-6)
Determine all intervals in which h must have a critical point.
✔ (-6,-2)
(-2, 2)
X
h'(x)
✔ (2,6)
-8-6 -4 -2 0 24
68
3 7 0-3 -5 -4 0 -2 6
✔ (6,8)
Transcribed Image Text:For the followings problems, consider a function h that is twice differentiable. This means that h is differentiable and its derivative, h', is also differentiable. Some values of h' (x) are given in the table below: (-8,-6) Determine all intervals in which h must have a critical point. ✓(-6,-2) (-2,2) ✔ (2,6) ✔ (6,8) (-8,-6) Determine all intervals in which h must have a critical point. ✔ (-6,-2) (-2, 2) X h'(x) ✔ (2,6) -8-6 -4 -2 0 24 68 3 7 0-3 -5 -4 0 -2 6 ✔ (6,8)
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