2. (1) Write down the equations of 1st-order derivative xf(x,y) and yf(x,y) and the Laplacian of a 2D image f(x,y). (2) Compute the 1st derivative of the following 3-bit image directly using the equations of (1). (3) Compute the Laplacian of the following 3-bit image using the given Laplacian mask. (4) normalize the Laplacian result. (Use zero-padding if needed, do the problem manually and show necessary steps)