# Lab13 - A1. fH=@(x) cos(10.*x).^2-10.*x.*sin(20.*x);...

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Unformatted text preview: A1. fH=@(x) cos(10.*x).^2-10.*x.*sin(20.*x); x=linspace(0,pi,300); der = feval(fH,x); plot(x,der) str=sprintf('values of the derivative of x*cos^2(10x)\n at the corresponding value of x'); title(str) xlabel('x') ylabel('value of the derivative') 0.5 1 1.5 2 2.5 3 3.5-30-20-10 10 20 30 40 values of the derivative of x*cos 2 (10x) at the corresponding value of x x value of the derivative A2. clear all hFunc=@(x) x.*cos(10.*x).^2; hFuncDer=@(x) cos(10.*x).^2-10.*x.*sin(20.*x); x1=linspace(0,pi,300); der = feval(hFuncDer,x1); h=[.2,.1,.05,.01]; figure for i=1:length(h) x=0:h(i):pi; m=length(x); n=1; der_approx(n)=(feval(hFunc, (x(n)+h(i)))-feval(hFunc, x(n)))/(h(i)); for n=2:(m-1) der_approx(n)=(feval(hFunc, (x(n)+h(i)))-feval(hFunc, x(n)-h(i)))/(2*h(i)); end n=m; der_approx(n)=(feval(hFunc, x(n))-feval(hFunc, (x(n)-h(i))))/(h(i)); subplot(2,2,i) plot(x1,der,'r:') hold on plot(x,der_approx,'b-') str=sprintf('approximate and actual values of the derivative of x*cos(10x)^2\n with an interval width of %5.2f',h(i)); title(str) xlabel('x') ylabel('value of the derivative')...
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## This note was uploaded on 03/13/2009 for the course MECHE chem1a taught by Professor Stacy during the Spring '09 term at American College of Gastroenterology.

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Lab13 - A1. fH=@(x) cos(10.*x).^2-10.*x.*sin(20.*x);...

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