4.16 Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h^2) to estimate the first derivative of the function examined in Prob. 4.13. Evaluate the derivative at x = 2 using a step size of h = 0.25. Compare your results with the true value of the derivative. Interpret your results on the basis of the remainder term of the Taylor series expansion.
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4.16 Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h^2) to estimate the first derivative of the function examined in Prob.
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