MATLAB: AN INTRODUCTION WITH APPLICATIO
MATLAB: AN INTRODUCTION WITH APPLICATIO
6th Edition
ISBN: 9781119626596
Author: GILAT
Publisher: WILEY
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Chapter 7, Problem 39P

The first derivative d f ( x ) d x a function f(x) at a point x = x0can he approximated with the four-point central difference formula:

d f d x = f ( x 0 2 h ) 8 f ( x 0 + h ) + 8 f ( x 0 + h ) f ( x 0 + 2 h ) 12 h

where h is a small number relative to x0. Write a user-defined function (see Section 7.9) that calculates the derivative of a math function f(x) by using the four-point central difference formula. For the user-defined function name, use dfdx=FoPtder (Fun, x0), were Fun is a name for the function that is passed into FoPtder, and x0is the point where the derivative is calculated. Use h=x0/100 in the four-point central difference formula. Use the user-defined function FoPtder to calculate the following:

(a) The derivative of f(x) = x3e2x at x0= 0.6.

(b) The derivative of f ( x ) = 3 x x 2 at x0=2.5.

In both cases compare the answer obtained from FoPtder with the analytical solution (use format long).

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Chapter 7 Solutions

MATLAB: AN INTRODUCTION WITH APPLICATIO

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