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1. Values for f (r) = e- – 1+x are given in table. 0.8 1.4 1.2 0.3679 0.5012 0.6466 1 f(r) | 0.2493 a) Use forward-difference and backward-difference formulas to approximate f'(1)

1. Values for f (r) = e- – 1+x are given in table. 0.8 1.4 1.2 0.3679 0.5012 0.6466 1 f(r) | 0.2493 a) Use forward-difference and backward-difference formulas to approximate f'(1)

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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Solve those numerical method problems. 

1. Values for f (r) = e- – 1+x are given in table. 1.4 0.3679 0.5012 0.6466 0.8 1 1.2 f(x) | 0.2493 a) Use forward-difference and backward-difference formulas to approximate f'(1) b) Use three-point formulas to approximate f'(1) and find error bounds for the three-point midpoint formula. 2. Let f(r) = a? lIn r+1. Use the second derivative formula to approximate f"(1) when h = 0.2.
Transcribed Image Text:1. Values for f (r) = e- – 1+x are given in table. 1.4 0.3679 0.5012 0.6466 0.8 1 1.2 f(x) | 0.2493 a) Use forward-difference and backward-difference formulas to approximate f'(1) b) Use three-point formulas to approximate f'(1) and find error bounds for the three-point midpoint formula. 2. Let f(r) = a? lIn r+1. Use the second derivative formula to approximate f"(1) when h = 0.2.
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