BME 450/550 Assignment 2 Due: Fri. Oct. 21" 1. Start with the Gaussian function in its simplest form: calculate the first derivative and call it Dg(x). You can do this using your knowledge of how to take the derivatives of composition of functions (f(h(x)) or by using a symbolic mathematics package (as exists in MATLAB or using Mathematica, etc). Recall that the even Gabor function has the form: where k is the angular spatial frequency: and is the spatial wavelength. Your task is to use a fitting routine to find the value of that minimizes the discrepancy between the first derivative function Dg and the Gabor function . 2. Repeat for the third and fifth derivative of Gaussian functions (find best value of . 3. Compare the quality of the fit (mean square error) of the best Gabor function to the derivative of Gaussian functions (Dg Dg , Dg