Homework Help is Here – Start Your Trial Now!
Math
Calculus
Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3 h'(4) X = 4 8 16 4 3 (a) Let h(x) = f(x²) g(x) 7 -2 3 0 Find h'(x). 5 ○ h'(x) = 2xg(x) f'(x²)—f(x²) g'(x) (g(x))² 6 ○ h'(x) = f(x²) g'(x)−g(x) f'(x²) (g(x))² I ○ h'(x) = g(x) f'(x²)—f(x²) g'(x) (g(x))² ○ h'(x) = f(x²) g'(x)−2xg(x)f'(x²) (g(x))² which tells us that h(x) is ---Select--- ✓ at x = 4 p'(x) = g'(g(x)) g'(x) p'(x) = 2g'(g(x)) (b) Let p(x) = g(g(x)). Find p'(x). p'(x) = 2g'(g(x)) g(x)+g (g(x)) g(x) p'(x) = g'(g(x)) g(x)+g (g(x)) g(x) Op'(x) = g'(g(x))

Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3 h'(4) X = 4 8 16 4 3 (a) Let h(x) = f(x²) g(x) 7 -2 3 0 Find h'(x). 5 ○ h'(x) = 2xg(x) f'(x²)—f(x²) g'(x) (g(x))² 6 ○ h'(x) = f(x²) g'(x)−g(x) f'(x²) (g(x))² I ○ h'(x) = g(x) f'(x²)—f(x²) g'(x) (g(x))² ○ h'(x) = f(x²) g'(x)−2xg(x)f'(x²) (g(x))² which tells us that h(x) is ---Select--- ✓ at x = 4 p'(x) = g'(g(x)) g'(x) p'(x) = 2g'(g(x)) (b) Let p(x) = g(g(x)). Find p'(x). p'(x) = 2g'(g(x)) g(x)+g (g(x)) g(x) p'(x) = g'(g(x)) g(x)+g (g(x)) g(x) Op'(x) = g'(g(x))

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
100%
Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 X h'(4) = 4 8 16 4 3 7 Oh'(x) -2 = (a) Let h(x) = f(x²). Find h'(x). g(x) 3 = 1 Oh'(x) = -3 0 Oh'(x) 2xg(x) f'(x²)-f(x²) g'(x) (g(x))² -1 5 6 f(x²) g'(x)−g(x) f'(x²) (g(x))² · g(x) f'(x²)-f(x²) g'(x) (g(x))² ○ h'(x) = f(x²) g'(x)—2xg(x) f'(x²) (g(x))² which tells us that h(x) is ---Select--- at x = 4 . (b) Let p(x) = g(g(x)) . Find p'(x). Op'(x) = g'(g(x)) g'(x) Op'(x) = 2g'(g(x)) p'(x) = 2g'(g(x)) g(x)+g (g(x)) g(x) p'(x) = g'(g(x)) g(x)+g (g(x)) g(x) Op'(x) = g'(g(x))
Transcribed Image Text:Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 X h'(4) = 4 8 16 4 3 7 Oh'(x) -2 = (a) Let h(x) = f(x²). Find h'(x). g(x) 3 = 1 Oh'(x) = -3 0 Oh'(x) 2xg(x) f'(x²)-f(x²) g'(x) (g(x))² -1 5 6 f(x²) g'(x)−g(x) f'(x²) (g(x))² · g(x) f'(x²)-f(x²) g'(x) (g(x))² ○ h'(x) = f(x²) g'(x)—2xg(x) f'(x²) (g(x))² which tells us that h(x) is ---Select--- at x = 4 . (b) Let p(x) = g(g(x)) . Find p'(x). Op'(x) = g'(g(x)) g'(x) Op'(x) = 2g'(g(x)) p'(x) = 2g'(g(x)) g(x)+g (g(x)) g(x) p'(x) = g'(g(x)) g(x)+g (g(x)) g(x) Op'(x) = g'(g(x))
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS