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Evaluate the difference quotient for the following function. f(x) = 4x²-x First, find f(x + h) − f(x) h 4 (z + h) ² − (z + h) − (42² − z) h Next, simplify the numerator. (8x + 4h-1) Divide out the h. 8x+4h-1 So now, find the limit lim A-0 f(x+h)-f(x) h X =82-1 8 ✓o

Evaluate the difference quotient for the following function. f(x) = 4x²-x First, find f(x + h) − f(x) h 4 (z + h) ² − (z + h) − (42² − z) h Next, simplify the numerator. (8x + 4h-1) Divide out the h. 8x+4h-1 So now, find the limit lim A-0 f(x+h)-f(x) h X =82-1 8 ✓o

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...
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Evaluate the difference quotient for the following function. f(x) = 4x² - x First, find f(x + h) - f(x) h 4 (z + h) ² − (z + h) − ( 4z² − z) 4(a+h)²-(x+h)-(4x²-x) h Next, simplify the numerator. (8x+4h-1) Divide out the h. 8x +4h-1 So now, find the limit lim A-0 f(x+h)-f(x) h Question Help: VIDEO X = 82-1 P Rook RM 8 Bost to forum
Transcribed Image Text:Evaluate the difference quotient for the following function. f(x) = 4x² - x First, find f(x + h) - f(x) h 4 (z + h) ² − (z + h) − ( 4z² − z) 4(a+h)²-(x+h)-(4x²-x) h Next, simplify the numerator. (8x+4h-1) Divide out the h. 8x +4h-1 So now, find the limit lim A-0 f(x+h)-f(x) h Question Help: VIDEO X = 82-1 P Rook RM 8 Bost to forum
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