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The normal distribution is defined as f (x) =e-**/2 . The following data were generated from V2n the normal distribution: -2 -1.5 -1 -0.5 0.5 1 1.5 f(x) 0.05399 0.12952| 0.24197| 0.35207 0.39894 0.35207 0.24197 0.12952 | 0.05399 Estimate the first derivative f'(x) at x = –1.5 using the three-point forward difference formula with h = 0.5. Compare your result with the true derivative by computing the true error (E;). f' x 0.1875, Et 0.0115 f' x -0.2179, E = 0.0419 f' -0.2618, Е. = 0.0198 f'x 0.2834, E, = 0.0414 f' x 0.2272, Et = 0.0329

The normal distribution is defined as f (x) =e-**/2 . The following data were generated from V2n the normal distribution: -2 -1.5 -1 -0.5 0.5 1 1.5 f(x) 0.05399 0.12952| 0.24197| 0.35207 0.39894 0.35207 0.24197 0.12952 | 0.05399 Estimate the first derivative f'(x) at x = –1.5 using the three-point forward difference formula with h = 0.5. Compare your result with the true derivative by computing the true error (E;). f' x 0.1875, Et 0.0115 f' x -0.2179, E = 0.0419 f' -0.2618, Е. = 0.0198 f'x 0.2834, E, = 0.0414 f' x 0.2272, Et = 0.0329

Calculus: Early Transcendentals
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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The normal distribution is defined as f (x) 1 -x²/2 The following data were generated from 2n the normal distribution: -2 -1.5 -1 -0.5 0.5 1 1.5 2 f(x) | 0.05399 0.12952 0.24197 0.35207 0.39894 0.35207 0.24197 0.12952 0.05399 Estimate the first derivative f'(x) at x = –1.5 using the three-point forward difference formula with h = 0.5. Compare your result with the true derivative by computing the true error (E;). A f' ~ 0.1875, Еt 0.0115 В f' x -0.2179, E = 0.0419 f' x -0.2618, E; = 0.0198 f' x 0.2834, E = 0.0414 E f' - 0.2272, E = 0.0329
Transcribed Image Text:The normal distribution is defined as f (x) 1 -x²/2 The following data were generated from 2n the normal distribution: -2 -1.5 -1 -0.5 0.5 1 1.5 2 f(x) | 0.05399 0.12952 0.24197 0.35207 0.39894 0.35207 0.24197 0.12952 0.05399 Estimate the first derivative f'(x) at x = –1.5 using the three-point forward difference formula with h = 0.5. Compare your result with the true derivative by computing the true error (E;). A f' ~ 0.1875, Еt 0.0115 В f' x -0.2179, E = 0.0419 f' x -0.2618, E; = 0.0198 f' x 0.2834, E = 0.0414 E f' - 0.2272, E = 0.0329
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