Suppose that f is a function given as ƒ(x) = = Simplify the expression f(x + h). f(x + h) = Simplify the difference quotient, f(x+h)-f(x) h = f'(x) = lim h→0 1 2x - 5 ƒ(x + h) − f(x) h The derivative of the function at x is the limit of the difference quotient as h approaches zero. f(x +h)-f(x) h =

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
Suppose that f is a function given as f(x)
Simplify the expression f(x + h).
f(x + h) =
=
Simplify the difference quotient,
f(x +h)-f(x)
h
=
=
1
2x - 5
ƒ(x + h) − f(x)
-
h
=
The derivative of the function at x is the limit of the difference quotient as h approaches zero.
ƒ'(x) = lim
f(x + h) − f(x)
h→0
h
Transcribed Image Text:Suppose that f is a function given as f(x) Simplify the expression f(x + h). f(x + h) = = Simplify the difference quotient, f(x +h)-f(x) h = = 1 2x - 5 ƒ(x + h) − f(x) - h = The derivative of the function at x is the limit of the difference quotient as h approaches zero. ƒ'(x) = lim f(x + h) − f(x) h→0 h
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 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