Let P(x) be the Lagrange interpolating polynomial of f(x) = x³ – 3x + 3 at the points x, = 0; x, = 1 and x, = 4. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: 14 10 15 13

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
icon
Related questions
Question
100%
Let P(x) be the Lagrange interpolating polynomial of
f(x) = x* – 3x + 3
at the points x, = 0; x, = 1 and x, = 4. If P(x) is used to approximate f(x), then an
approximation of f'(2) is most nearly:
O 14
O 10
O 15
O 13
Transcribed Image Text:Let P(x) be the Lagrange interpolating polynomial of f(x) = x* – 3x + 3 at the points x, = 0; x, = 1 and x, = 4. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: O 14 O 10 O 15 O 13
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning