Using the following data, calculate the first-order derivative f'(x) of the function f(x) at its points x=0, 1, 2, 3, 4, 5 using the finite divided difference formulas: a) Calculate with the...

Using the following data, calculate the first-order derivative f'(x) of the function f(x) at its points x=0, 1, 2, 3, 4, 5 using the finite divided difference formulas:

a) Calculate with the three-point backward finite divided difference formula at x=5.