hction given as J(E) that IS a Simplify the expression f(x + h). f(r + h) = f(r + h) – f(x) Simplify the difference quotient, f(r + h) - f(x) %3D h The derivative of the function at x is the limit of the difference quotient as h approaches zero. f(x + h) - f(x) f'(x) = lim %3D %3D h 0 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...
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Answer the following questions correctly
Suppose that f is a function given as f(x) =
- 2x + 1.
Simplify the expression f(x + h).
f(r + h) =
f(r + h) – f(x)
Simplify the difference quotient,
f(r + h) f(x)
The derivative of the function at a is the limit of the difference quotient as h approaches zero.
f(x + h) – f(x)
f'(x) = lim
h>0
h
Transcribed Image Text:Suppose that f is a function given as f(x) = - 2x + 1. Simplify the expression f(x + h). f(r + h) = f(r + h) – f(x) Simplify the difference quotient, f(r + h) f(x) The derivative of the function at a is the limit of the difference quotient as h approaches zero. f(x + h) – f(x) f'(x) = lim h>0 h
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