By applying the Product Rule twice, one can prove that if f, g, and h are differentiable, then (fgh)' = f'gh+fg'h+fgh'. Now, in the above result, letting f = g = h yields d -[f(x)]³ = 3[f(x)]²ƒ'(x). dx Use this last formula to differentiate y = e³¸ y' = B By applying the Product Rule twice, one can prove that if f, g, and h are differentiable, then (fgh)' = f'gh+fg'h+fgh'. Now, in the above result, letting f = g = h yields d -[f(x)]³ = 3[f(x)]²ƒ'(x). dx Use this last formula to differentiate y = e³¸ y' = B

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

Solve these questions please 

 

By applying the Product Rule twice, one can prove that if f, g, and h are differentiable, then
(fgh)' = f'gh+fg'h+fgh'.
Now, in the above result, letting f = g = h yields
d
-[f(x)]³ = 3[f(x)]²ƒ'(x).
dx
Use this last formula to differentiate y = e³¸
y' =
B
Transcribed Image Text:By applying the Product Rule twice, one can prove that if f, g, and h are differentiable, then (fgh)' = f'gh+fg'h+fgh'. Now, in the above result, letting f = g = h yields d -[f(x)]³ = 3[f(x)]²ƒ'(x). dx Use this last formula to differentiate y = e³¸ y' = B
By applying the Product Rule twice, one can prove that if f, g, and h are differentiable, then
(fgh)' = f'gh+fg'h+fgh'.
Now, in the above result, letting f = g = h yields
d
-[f(x)]³ = 3[f(x)]²ƒ'(x).
dx
Use this last formula to differentiate y = e³¸
y' =
B
Transcribed Image Text:By applying the Product Rule twice, one can prove that if f, g, and h are differentiable, then (fgh)' = f'gh+fg'h+fgh'. Now, in the above result, letting f = g = h yields d -[f(x)]³ = 3[f(x)]²ƒ'(x). dx Use this last formula to differentiate y = e³¸ y' = B
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

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