2. Consider the function table below 1 2 3 4 5 6 (1) 2 3 1 5 41 (a) Estimate f'(4) using the forward, backward, and centered difference method with h=1. (b) Estimate f'(4) using second order interpolation polynomial. Compare with your findings above. (e) Estimate ] f(z) de using the Trapezoidal rule with h = 1. Try to implement the scheme in Matlab using clean vector operations and a program utilizing a for loop as well. Compare with the Matlab built-in function trapz