The function F is a function with all-order derivatives in an open interval containing x = 1. The values of some derivatives at the point x = 1 are given in the table. Find the approximate value of F (1.2) by the 2nd order taylor polynomial with center x = 1. * f(x) | f'(x)| f"(x)| f"( x)((x) 1 -1 2 -6 24 (a) 0,81 (b) 0,82 (c) 0,83 (d) 0,84 (e) 0.85

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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The function F is a function with all-order derivatives in an open interval
containing x = 1. The values of some derivatives at the point x = 1 are given
in the table. Find the approximate value of F (1.2) by the 2nd order taylor
polynomial with center x = 1.
f(x) | f'(x)| f"(x)| f"(x) | x)
1
1
-1
2
-6
24
(a) 0,81
(b) 0,82
(c) 0,83
(d) 0,84
(e) 0,85
Transcribed Image Text:The function F is a function with all-order derivatives in an open interval containing x = 1. The values of some derivatives at the point x = 1 are given in the table. Find the approximate value of F (1.2) by the 2nd order taylor polynomial with center x = 1. f(x) | f'(x)| f"(x)| f"(x) | x) 1 1 -1 2 -6 24 (a) 0,81 (b) 0,82 (c) 0,83 (d) 0,84 (e) 0,85
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