Calculate f¹ (2) for f(x) = x³ - 2x using the difference formula: f(a+h)-f(a) f' (a) limo h Show work

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

quick pls

Question 32
Calculate f' (2) for f(x) = x³ - 2x using the difference formula:
f' (a) = lim 0
f(a+h)-f(a)
h
Show work
Transcribed Image Text:Question 32 Calculate f' (2) for f(x) = x³ - 2x using the difference formula: f' (a) = lim 0 f(a+h)-f(a) h Show work
Expert Solution
Step 1: Given value of f(x)

Given, f left parenthesis x right parenthesis equals x cubed minus 2 x.

we know, left parenthesis a plus b right parenthesis cubed equals a cubed plus 3 a squared b plus 3 a b squared plus b cubed.

steps

Step by step

Solved in 3 steps with 4 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