Problem 1: Consider the function F(x) = log |sin (2x2 + 0.1 exp(-r*) 1. 1. Find by hand the first and second derivative of this function numerically with the central finite difference equations at x--1 with -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 x 0.1 in the interval of x from 0 to 1