Consider the function F(x) = log |sin(2x + 0.1 exp(-x)) |. 1. Find by hand the...

 

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