Let f be a function that has derivatives of all orders on its interval of convergence with the following derivative values: f(4) f'(4) f'"(4) f"(4) 1 1 -4 4 6. Part a: Write the 3rd degree Taylor polynomial for the function g(x) = 3f(2x) centered at x = 2. Part b: For the function h(x) = (x – 2)*g(x), find h®(2) by using the Taylor polynomial expansion of the function h. 6
Let f be a function that has derivatives of all orders on its interval of convergence with the following derivative values: f(4) f'(4) f'"(4) f"(4) 1 1 -4 4 6. Part a: Write the 3rd degree Taylor polynomial for the function g(x) = 3f(2x) centered at x = 2. Part b: For the function h(x) = (x – 2)*g(x), find h®(2) by using the Taylor polynomial expansion of the function h. 6
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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
Transcribed Image Text:Let f be a function that has derivatives of all orders on its interval of convergence with the following
derivative values:
f(4) f'(4)
f"(4) f(4)
1
1
-4
6.
-
4
6.
Part a: Write the 3rd degree Taylor polynomial for the function g(x) = 3f(2x) centered at x = 2.
Part b: For the function h(x) = (x – 2)*g(x), find h6(2) by using the Taylor polynomial expansion of the
function h .
%3D
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