df (x) Problem (5): The first derivative of a function at a point x=x, can be approximated with the four-point central difference formula: 12h where h is a small number relative to x, write a user-defined function function that calculates the derivative of a math function f(x) by using the four-point central difference formula. For the user- defined function name, use dfdx-FoPtder(Fun,x0), where Fun is a name for the function that is passed into FoPtder, and x0 is the point where the derivative is calculated. Use h =x0/100 in the four-point central difference formula. Use the user-defined functionFoPtder to calculate the following: (a) The derivative of f (x)-re2x at Xo = 0.6 (b) The derivative of f(x)- at xo = 2.5. In both cases compare the answer obtained from FoPtder with the analytical solution (use format long) df (x) Problem (5): The first derivative of a function at a point x=x, can be approximated with the four-point central difference formula: 12h where h is a small number relative to x, write a user-defined function function that calculates the derivative of a math function f(x) by using the four-point central difference formula. For the user- defined function name, use dfdx-FoPtder(Fun,x0), where Fun is a name for the function that is passed into FoPtder, and x0 is the point where the derivative is calculated. Use h =x0/100 in the four-point central difference formula. Use the user-defined functionFoPtder to calculate the following: (a) The derivative of f (x)-re2x at Xo = 0.6 (b) The derivative of f(x)- at xo = 2.5. In both cases compare the answer obtained from FoPtder with the analytical solution (use format long)