Question: Use forward and backward difference approximationsof O(h) and a centered difference approximation of O(h2)to estimate the first derivative of the function examined inProb. 4.13. Evaluate

Use forward and backward difference approximationsof O(h) and a centered difference approximation of O(h2)to estimate the first derivative of the function examined inProb. 4.13. Evaluate the derivative at x =2 using a step sizeof h =0.25. Compare your results with the true value of thederivative. Interpret your results on the basis of the remain-der term of the Taylor series expansion.

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