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Problem 2 2.1) Show that (you need to show that the error term is O(h²)). f'(x) = − f(x+2h)+4ƒ(x + h) −3f(x) +0(h²) 2h 1 2.2) Let fƒ(x) = xe. Use the formula in 4.1) to find the "first" derivative of f(x) and plot the first derivative for x = [0, 1]. Pick appropriate value for h. 1 2.3) Let f(x) 1 =xe*. Use the formula in 4.2) to find the "second" derivative of f(x) and plot the second derivative for 2 € [0,1]

Problem 2 2.1) Show that (you need to show that the error term is O(h²)). f'(x) = − f(x+2h)+4ƒ(x + h) −3f(x) +0(h²) 2h 1 2.2) Let fƒ(x) = xe. Use the formula in 4.1) to find the "first" derivative of f(x) and plot the first derivative for x = [0, 1]. Pick appropriate value for h. 1 2.3) Let f(x) 1 =xe*. Use the formula in 4.2) to find the "second" derivative of f(x) and plot the second derivative for 2 € [0,1]

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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%matplotlib inline
import numpy as np
from matplotlib import pyplot as plt
import math
Problem 2 2.1) Show that (you need to show that the error term is O(h²)). f'(x) = − f(x+2h)+4ƒ(x + h) −3f(x) +0(h²) 2h 1 2.2) Let fƒ(x) = xe. Use the formula in 4.1) to find the "first" derivative of f(x) and plot the first derivative for x = [0, 1]. Pick appropriate value for h. 1 2.3) Let f(x) 1 =xe*. Use the formula in 4.2) to find the "second" derivative of f(x) and plot the second derivative for 2 € [0,1]
Transcribed Image Text:Problem 2 2.1) Show that (you need to show that the error term is O(h²)). f'(x) = − f(x+2h)+4ƒ(x + h) −3f(x) +0(h²) 2h 1 2.2) Let fƒ(x) = xe. Use the formula in 4.1) to find the "first" derivative of f(x) and plot the first derivative for x = [0, 1]. Pick appropriate value for h. 1 2.3) Let f(x) 1 =xe*. Use the formula in 4.2) to find the "second" derivative of f(x) and plot the second derivative for 2 € [0,1]
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