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[x) = √x. (a) Simplify f(22 + h) − f(22) - h Algebraically simplify your answer until you have cancelled out the factor of h in the denominator. (b) Evaluate lim f(22 + h) - f(22) h→0 h If an answer does not exist, enter DNE. (c) Determine the equation of the line tangent to y = f(x) at x = 22. y =

[x) = √x. (a) Simplify f(22 + h) − f(22) - h Algebraically simplify your answer until you have cancelled out the factor of h in the denominator. (b) Evaluate lim f(22 + h) - f(22) h→0 h If an answer does not exist, enter DNE. (c) Determine the equation of the line tangent to y = f(x) at x = 22. y =

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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Question
Let f(x)=√x. (a) Simplify f(22 + h) − f(22) h Algebraically simplify your answer until you have cancelled out the factor of h in the denominator. (b) Evaluate lim f(22 + h) − f(22) h→0 h If an answer does not exist, enter DNE. (c) Determine the equation of the line tangent to y = f(x) at x = 22. y =
Transcribed Image Text:Let f(x)=√x. (a) Simplify f(22 + h) − f(22) h Algebraically simplify your answer until you have cancelled out the factor of h in the denominator. (b) Evaluate lim f(22 + h) − f(22) h→0 h If an answer does not exist, enter DNE. (c) Determine the equation of the line tangent to y = f(x) at x = 22. y =
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