Arithmetic Operations in Image Enhancement - Digital image processing

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Arithmetic Operations in Image Enhancement - Digital image processing
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Hello, I have an 11×11 image having in its center a 5×5 square, the image it's noiseless and I don't know how to compute the gradient of the image function given by the compass operator for this image. If I remember correctly, I should use a derivative, but I don't know exactly what and how can I use it. Can you please help me?

MrRobi