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Find the nth Taylor polynomial for the function, centered at c. f(x) = xªcos x, n = 2, C = T

Find the nth Taylor polynomial for the function, centered at c. f(x) = xªcos x, n = 2, C = T

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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Find the nth Taylor polynomial for the function, centered at c. f(x) = x+cos x, n = 2, C = T Step 1 If f has nth derivatives at C, then f"(c)(x - c)² f "''(c)(x - c)³ Pn(x) = f(c) + f '(c)(x − c) + + 2! 3! is called the nth Taylor polynomial for f at c. Find the following derivatives, which we need to find the polynomial. f(x) = x4 cos x f'(x) = f "(x) = + ... + f "(c)(x - c)" n!
Transcribed Image Text:Find the nth Taylor polynomial for the function, centered at c. f(x) = x+cos x, n = 2, C = T Step 1 If f has nth derivatives at C, then f"(c)(x - c)² f "''(c)(x - c)³ Pn(x) = f(c) + f '(c)(x − c) + + 2! 3! is called the nth Taylor polynomial for f at c. Find the following derivatives, which we need to find the polynomial. f(x) = x4 cos x f'(x) = f "(x) = + ... + f "(c)(x - c)" n!
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