The value of the function f(x) and some order derivatives at the point x=1 are given in the following table where f(x) is a function whose derivatives of all orders exist in an open interval including x 1. Which of the following results will be obtained if we calculate an approxima te value for f(1,3) with the help of the 2nd order Taylor polynomial centered at x=1 together with the appropriate values in the table. f(x) f(x) f"(x) f"( x) (x) 1 -1 -6 24 (a) 0,79 (b) 0,78 (c) 0,76 (d) 0,75 (e) 0,74

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...
icon
Related questions
Question
The value of the function f(x) and some order derivatives at the point
x=1 are given in the following table where f(x) is a function whose
derivatives of all orders exist in an open interval including x=1. Which of
the following results will be obtained if we calculate an approximate value
for f(1,3) with the help of the 2nd order Taylor polynomial centered at
x=1 together with the appropriate values in the table.
f(x)
f'(x) f"(x) f"( x) (x)
-1
2
24
(a) 0,79
(b) 0,78
(c) 0,76
(d) 0,75
(e) 0,74
Transcribed Image Text:The value of the function f(x) and some order derivatives at the point x=1 are given in the following table where f(x) is a function whose derivatives of all orders exist in an open interval including x=1. Which of the following results will be obtained if we calculate an approximate value for f(1,3) with the help of the 2nd order Taylor polynomial centered at x=1 together with the appropriate values in the table. f(x) f'(x) f"(x) f"( x) (x) -1 2 24 (a) 0,79 (b) 0,78 (c) 0,76 (d) 0,75 (e) 0,74
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Power Series
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning