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

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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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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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