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Values for f(x) are given in the following table. (a) Use three-point endpoint formula to find f'(0) with h = 0.1. (b) Use three-point midpoint formula to find f'(0) with h = 0.1. (c) Use second-derivative midpoint formula with h = 0.1 to find f"(0).

Values for f(x) are given in the following table. (a) Use three-point endpoint formula to find f'(0) with h = 0.1. (b) Use three-point midpoint formula to find f'(0) with h = 0.1. (c) Use second-derivative midpoint formula with h = 0.1 to find f"(0).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Values for f (x) are given in the following table. (a) Use three-point endpoint formula to find f'(0) with h = 0.1. (b) Use three-point midpoint formula to find f'(0) with h = 0.1. (c) Use second-derivative midpoint formula with h = 0.1 to find f"(0). f(x) -0.2 -3.1 -0.1 -1.3 0.8 0.1 3.1 0.2 5.9
Transcribed Image Text:Values for f (x) are given in the following table. (a) Use three-point endpoint formula to find f'(0) with h = 0.1. (b) Use three-point midpoint formula to find f'(0) with h = 0.1. (c) Use second-derivative midpoint formula with h = 0.1 to find f"(0). f(x) -0.2 -3.1 -0.1 -1.3 0.8 0.1 3.1 0.2 5.9
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