Use centered difference approximations to estimate the first and second derivatives of y=e^x at x=5 for h=0.1. Employ both O(h^2) and O(h^4) formulas for estimating the results. (Round the final answers to four decimal places.) The first derivative of the function with O(h^2) = ____
The first derivative of the function with O(h^4) = ______
The second derivative of the function with O(h^2) = _____
The second derivative of the function with O(h^4) =____