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Let f(x) = 17x+1| and Find and simplify the difference quotient f(x+h) -f(x) (xth-x Example 1: Let f(x)=2-3x². Find and simplify the difference quotient f(x)=2-3x² f(x+h)=2-3(x+h)² 62-3(x+h)(x+h) ¿2-3x²+2xh+h²) 62-3x²-6xh-3h² f(x+h)−f(x)_(2-3x²-6xh−3h²)-(2-3x²) (x+h)-x x+h-x 2-3x²-6xh-3h²-2+3x² نا h -6xh-3h² i h h-6x-3h) i h ¿-6x-3h f(x+h)-f(x) (x+h)-x

Let f(x) = 17x+1| and Find and simplify the difference quotient f(x+h) -f(x) (xth-x Example 1: Let f(x)=2-3x². Find and simplify the difference quotient f(x)=2-3x² f(x+h)=2-3(x+h)² 62-3(x+h)(x+h) ¿2-3x²+2xh+h²) 62-3x²-6xh-3h² f(x+h)−f(x)_(2-3x²-6xh−3h²)-(2-3x²) (x+h)-x x+h-x 2-3x²-6xh-3h²-2+3x² نا h -6xh-3h² i h h-6x-3h) i h ¿-6x-3h f(x+h)-f(x) (x+h)-x

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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Let f(x) = 17x+1| and Find and simplify the difference quotient f(x+h) -f(x) (xth-x
Transcribed Image Text:Let f(x) = 17x+1| and Find and simplify the difference quotient f(x+h) -f(x) (xth-x
Example 1: Let f(x)=2-3x². Find and simplify the difference quotient f(x)=2-3x² f(x+h)=2-3(x+h)² 62-3(x+h)(x+h) ¿2-3x²+2xh+h²) 62-3x²-6xh-3h² f(x+h)−f(x)_(2-3x²-6xh−3h²)-(2-3x²) (x+h)-x x+h-x 2-3x²-6xh-3h²-2+3x² نا h -6xh-3h² i h h-6x-3h) i h ¿-6x-3h f(x+h)-f(x) (x+h)-x
Transcribed Image Text:Example 1: Let f(x)=2-3x². Find and simplify the difference quotient f(x)=2-3x² f(x+h)=2-3(x+h)² 62-3(x+h)(x+h) ¿2-3x²+2xh+h²) 62-3x²-6xh-3h² f(x+h)−f(x)_(2-3x²-6xh−3h²)-(2-3x²) (x+h)-x x+h-x 2-3x²-6xh-3h²-2+3x² نا h -6xh-3h² i h h-6x-3h) i h ¿-6x-3h f(x+h)-f(x) (x+h)-x
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