Use centered difference approximations to estimate the first and second derivatives of y = e^x at x = 4 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) = .
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1} - e^{3.9}}{2(0.1)}\] \[f'(4) = \frac{54.6892}{2}\] ** Show more…
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