Find the fourth degree Taylor polynomial, T4(x), for f(x) at -: Que f(x) = 3 sin(x) Que a) Find the following derivatives of f(x). Ques Ques Preview f'(x) = 3cos(x) f'(z) = 3 cos(x) %3D Ques Ques Preview f"(x) = -3 sin(x) Ques f"(r) = -3sin(x) Ques Preview Sumn f" (2) = -3cos(x) f" (x) = -3 cos(r) %3D Preview f()- 3sin(x) f(4) (2) = 3 sin(x)

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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Part c) the exact fraction after multiplying out
Find the fourth degree Taylor polynomial, T4(x), for f(x) at -:
Que
f (x) = 3 sin(x)
Que:
a) Find the following derivatives of f(x).
Ques
Ques
Preview
f'(x)
3cos(x)
f'(z) = 3 cos(x)
Ques
Ques
Preview
f" (x) = -3sin(x)
f"(x) = -3 sin(x)
Ques
Quest
Preview
Summ
f" (r) = -3cos(x)
f"(x) = -3 cos(r)
Preview
f(2) - 3sin(x)
f(4) (x) = 3 sin(a)
b) Find the value of f (x) and the derivatives of f(x) at the center x =
Preview
f(-8) %3D -월
-3/2
Transcribed Image Text:Find the fourth degree Taylor polynomial, T4(x), for f(x) at -: Que f (x) = 3 sin(x) Que: a) Find the following derivatives of f(x). Ques Ques Preview f'(x) 3cos(x) f'(z) = 3 cos(x) Ques Ques Preview f" (x) = -3sin(x) f"(x) = -3 sin(x) Ques Quest Preview Summ f" (r) = -3cos(x) f"(x) = -3 cos(r) Preview f(2) - 3sin(x) f(4) (x) = 3 sin(a) b) Find the value of f (x) and the derivatives of f(x) at the center x = Preview f(-8) %3D -월 -3/2
b) Find the value of f(x) and the derivatives of f(x) at the center x =
Preview
f(-풍) %3D-3/2
f(-종) %3D3
Preview
f'(- = 3sqrt(3)/2
(-) =
Preview
3/2
"(-5)
Preview
f()- -3sqrt(3)/2
f"(-E) = 3
Preview
f(-E) - -
-3/2
c) What is the fourth degree Taylor polynomial of the given function?
Transcribed Image Text:b) Find the value of f(x) and the derivatives of f(x) at the center x = Preview f(-풍) %3D-3/2 f(-종) %3D3 Preview f'(- = 3sqrt(3)/2 (-) = Preview 3/2 "(-5) Preview f()- -3sqrt(3)/2 f"(-E) = 3 Preview f(-E) - - -3/2 c) What is the fourth degree Taylor polynomial of the given function?
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