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1. Let f(x) = sin(e-²2). (a) Use the two-point backward-difference and forward-difference formulas with h = 0.1 to approximate f'(0.5); (b) Use the three-point formula with zo = 0.4, ₁ = 0.5, ₂ = 0.6 to approximate f'(0.6).

1. Let f(x) = sin(e-²2). (a) Use the two-point backward-difference and forward-difference formulas with h = 0.1 to approximate f'(0.5); (b) Use the three-point formula with zo = 0.4, ₁ = 0.5, ₂ = 0.6 to approximate f'(0.6).

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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1. Let f(x) = sin(e-²¹). (a) Use the two-point backward-difference and forward-difference formulas with h = 0.1 to approximate f'(0.5); (b) Use the three-point formula with zo = 0.4, 2₁ = 0.5, 2 = 0.6 to approximate f'(0.6).
Transcribed Image Text:1. Let f(x) = sin(e-²¹). (a) Use the two-point backward-difference and forward-difference formulas with h = 0.1 to approximate f'(0.5); (b) Use the three-point formula with zo = 0.4, 2₁ = 0.5, 2 = 0.6 to approximate f'(0.6).
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