Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 4, Problem 7P

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. 4.5. Evaluate the derivative at x = 2 using a step size of h = 0.2 . 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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