Homework Help is Here – Start Your Trial Now!
Math
Calculus
Directions: Prove the following statements. 1. If f(x) = (x² – 1)3 then f'(x) = 6x3 – 12x + 6x.

Directions: Prove the following statements. 1. If f(x) = (x² – 1)3 then f'(x) = 6x3 – 12x + 6x.

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
Rules in Action Derivatives of Algebraic Functions Directions: Prove the following statements. 1. If f(x) = (x? – 1)3 then f'(x) = 6x³ – 12x + 6x. f(x) = x5/x3 + 2 then 13x + 20x* 2vx3 + 2 2. If 1- x2 f'(x) = - 2/x(x? + 1)3 3. If f(x) = then Vx2 + 1 (8x + 4x³)v4x2 + 8 – 24x3 – 32x V4x2 + 8 4. If f(x) = (/4x2 + 8 then f'(x) =
Transcribed Image Text:Rules in Action Derivatives of Algebraic Functions Directions: Prove the following statements. 1. If f(x) = (x? – 1)3 then f'(x) = 6x³ – 12x + 6x. f(x) = x5/x3 + 2 then 13x + 20x* 2vx3 + 2 2. If 1- x2 f'(x) = - 2/x(x? + 1)3 3. If f(x) = then Vx2 + 1 (8x + 4x³)v4x2 + 8 – 24x3 – 32x V4x2 + 8 4. If f(x) = (/4x2 + 8 then f'(x) =
Expert Solution
steps

Step by step

Solved in 3 steps with 2 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