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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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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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