2. Consider a high pass filter we are creating by adding the first derivatives along x and y directions. (a) What would this operation correspond to in frequency domain considering the theoretical continuous derivatives. (b) Explicitly right down the approximate derivatives for this operation and derive the 2-D discrete masks. (e) Take the inverse FT of part (a) and discuss how this is related to your mask in part (b). 2. Consider a high pass filter we are creating by adding the first derivatives along x and y directions. (a) What would this operation correspond to in frequency domain considering the theoretical continuous derivatives. (b) Explicitly right down the approximate derivatives for this operation and derive the 2-D discrete masks. (e) Take the inverse FT of part (a) and discuss how this is related to your mask in part (b)