Find the fourth degree Taylor polynomial, T(z), for f(x) at 4. f(x) = 5 In(r - 3) - 4

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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What is the fourth degree taylor polynomial of the given function?
Find the fourth degree Taylor polynomial, T (2), for f(z) at 4.
f(z) = 5 In(x - 3) – 4
a) Find the following derivatives of f(x).
Preview
f'(x) = 5/(x-3)
f'(x) = 3
Correct. Good Job!
Preview
f"(x) = ( 3)
f"(x) = -5/(x-3)^2
Correct. Good Job!
Preview
10
f"(x) -3)3
fm (x) = 10/(x-3)^3
Correct. Good Job!
Dreview
Transcribed Image Text:Find the fourth degree Taylor polynomial, T (2), for f(z) at 4. f(z) = 5 In(x - 3) – 4 a) Find the following derivatives of f(x). Preview f'(x) = 5/(x-3) f'(x) = 3 Correct. Good Job! Preview f"(x) = ( 3) f"(x) = -5/(x-3)^2 Correct. Good Job! Preview 10 f"(x) -3)3 fm (x) = 10/(x-3)^3 Correct. Good Job! Dreview
TO
Correct. Good Job!
Preview
f(4) (4) = -30
(4) = -30
Correct. Good Job!
c) What is the fourth degree Taylor polynomial of the given function?
Preview
T4() = -30
T:(z) = -30
Not equivalent.
Transcribed Image Text:TO Correct. Good Job! Preview f(4) (4) = -30 (4) = -30 Correct. Good Job! c) What is the fourth degree Taylor polynomial of the given function? Preview T4() = -30 T:(z) = -30 Not equivalent.
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