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nd a second degree polynomial function f2(x) with the following three properties (1) = f'(1) and f2"(1) = ƒ"(1). aph f(x) and f2(x) on the same graph. hat is the mathematical name given to the function f₂?

nd a second degree polynomial function f2(x) with the following three properties (1) = f'(1) and f2"(1) = ƒ"(1). aph f(x) and f2(x) on the same graph. hat is the mathematical name given to the function f₂?

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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3. Consider the function f(x) = lnx. a. Find a second degree polynomial function f2(x) with the following three properties: f2(1) = f(1), f(1) = f'(1) and f₂"(1) = ƒ"(1). b. Graph f(x) and f2(x) on the same graph. c. What is the mathematical name given to the function f₂?
Transcribed Image Text:3. Consider the function f(x) = lnx. a. Find a second degree polynomial function f2(x) with the following three properties: f2(1) = f(1), f(1) = f'(1) and f₂"(1) = ƒ"(1). b. Graph f(x) and f2(x) on the same graph. c. What is the mathematical name given to the function f₂?
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