Problem 1: Consider the function F(x)log Isin(2x20.1 exp(-x2)). 1. Find by hand the first and second derivative of this function numerically with the central finite difference equations at x =-1 with ?x 0.05. 2. Write a MATLAB code to find the first and second derivative of this function numerically with the central finite difference equations in nodes of a mesh with equal spacing of Ax0.1 in the interval of x from 0 to 1