Question

MatLab Help!!

Write a function called Difference to calculate the central difference, forward diflerence, and backward diference approximation to an function within a given range of xmin:xinc:xmax The input argument of the function Difference is the handle to an anonymous function, a row array xmin:xinc:xmax The differences should be returned as a row array, calculated at xmin xinc xmax Restriction. The function should not use loops Ex func - (x) x.3 xmin-3 xinc-e.25; xmax-4; [backDifference, centralDifference, forwardDifference] Derivative(func, xmin, xmax, xinc) backDifference 24.8125 29.3125 34.1875 39.4375 45.8625 centralDifference 27.862531.7500 36.8125 42.2509 48.0625 forwardDifference 29.3125 34.3875 39.4375 45.9625 51.9625 Your Function Save Reset叩MATLAB Documentation function [hacoifference, xmaskinc) centralOifference,forwardDifference 】 " Derivative(anon, unction, xin, . X your code goes here % s end Code to call your function C Reset 1 func e(x) x.43 3 [backoifference, centralDifference, forwardDifference) -Derivative(func, xmin, xmax, xinc)

Answer 1

code

solution

8matalb code %Derivative. m function [back Difference, central Difference, forward Difference=Derivati xmin, xmax, xinc) ve (anon Function, Functi n (xmin :xǐnc:xnax)- back Difference= (anon anon Function (xmin-xinc:xinc:xmax-xinc) ) /xinc; central. Difference= (anon-Function (xmin+xinc : xinc: xmax+xinc) Function (xmin"Xinc:Xīnc : xmax-xinc )) / (2*xīnc) anon ; forward. Difference= (anon-Function (xmin+xǐnc : xinc : xmax+xǐnc) anon Function (xmin:xinc: xmax) )/xinc Smain.m anon Function= @(x) x.^3 xmin 3; xinc-1; xmax-8 [back_Difference, central_Difference, forward_Difference] Derivative (anon_Function, xmin, xmax, xinc)

%output

anon_Function - @(x) x .a 3 back_Difference 19 37 61 91 127 169 central Difference 28 49 76 109 148 193 forward Difference 37 61 91 127 169 217

%copyable code

%matalb code

%Derivative.m

function [back_Difference,central_Difference,forward_Difference]=Derivative(anon_Function,xmin,xmax,xinc)

back_Difference=(anon_Function(xmin:xinc:xmax)-anon_Function(xmin-xinc:xinc:xmax-xinc))/xinc;

central_Difference=(anon_Function(xmin+xinc:xinc:xmax+xinc)-anon_Function(xmin-xinc:xinc:xmax-xinc))/(2*xinc);

forward_Difference=(anon_Function(xmin+xinc:xinc:xmax+xinc)-anon_Function(xmin:xinc:xmax))/xinc;

end

%main.m

anon_Function = @(x) x.^3

xmin=3;

xinc=1;

xmax=8;

[back_Difference, central_Difference, forward_Difference] = Derivative(anon_Function, xmin, xmax, xinc)