The document provides MATLAB code for a function named 'mypartial' that calculates the partial derivative of a function 'f' with respect to a specified variable 'x' using the central difference method. It defines the perturbation 'h' based on the index 'ind' and computes the derivative using the formula involving a small epsilon value. The function is designed to operate in a three-dimensional context where 'ind' determines which dimension the derivative is calculated for.

1. MATLAB CODE: Write a function with the header which calculates the partial derivative using
the central difference method of function f with respect to x (ind). The central difference
approximation of a function evaluated at x is: f = f (x + h)-f (x - h)/2epsilon and eps is used to
permute x (ind) such that
Solution
The Code is here for function
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function [df ] = myPartial(f,x,ind,eps )
%MYPARTIAL Summary of this function goes here
% Detailed explanation goes here
if ind==1
h=[eps;0;0];
elseif ind==2
h=[0;eps;0];
elseif ind==3
h=[0;0;eps];
end
df=(f(x+h)-f(x-h))/(2*eps);
end
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