What is the fourth derivative of the function f(x) = -xe* ? What is the coefficient of the fourth term of the Taylor Series approximation for f(x) = -xex when a = 0? Oa. (1/4) Ob. (2/4!) Oc. (-1/6) Od. - 4 Using substitution, calculate the approximate value of this function at x = 0.2, using the fourth order Taylor series approximation of this function. Enter your result up to five decimal places of accuracy.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Taylor Series Approximation Formula
f(x) ≈ ƒ(a) + ƒ'(a)(x − a) + ¹¹(a) (x − a)² +
-
2
What is the fourth derivative of the function f(x) = -xe* ?
f'" (a)
3!
Ob. (2/4!)
What is the coefficient of the fourth term of the Taylor Series approximation for
f(x) = -xex
when a = 0?
Oa. (1/4)
Oc. (-1/6)
(x − a)³ + ...
Od. - 4
Using substitution, calculate the approximate value of this function at x = 0.2,
using the fourth order Taylor series approximation of this function. Enter your
result up to five decimal places of accuracy.
Transcribed Image Text:Taylor Series Approximation Formula f(x) ≈ ƒ(a) + ƒ'(a)(x − a) + ¹¹(a) (x − a)² + - 2 What is the fourth derivative of the function f(x) = -xe* ? f'" (a) 3! Ob. (2/4!) What is the coefficient of the fourth term of the Taylor Series approximation for f(x) = -xex when a = 0? Oa. (1/4) Oc. (-1/6) (x − a)³ + ... Od. - 4 Using substitution, calculate the approximate value of this function at x = 0.2, using the fourth order Taylor series approximation of this function. Enter your result up to five decimal places of accuracy.
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