Finding the gradient of a multivariable function via a spatial convolution.

2018 12 29
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Hi , I’m trying to write a function that can manually determine the gradient of a surface (represented by a multivariable function that I have created) at a particular point (x,y)
The code I've written is shown below.
function [pdx,pdy] = comp_gradient(x,y)
kernelx = [2.5,0,-2.5];
kernely = [2.5;0;-2.5];
z = cos(x/2).* cos(y) + (y/10) - (x/5);
pdx = conv2(kernelx,z,'same');
pdy = conv2(kernely,z,'same');
end
I'm not sure where to go from here, my output is clearly incorrect.
Any help would be greatly appreciated.

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