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Suppose that the values of a smooth function f are known for x = -0.15, –0.1, 0,0.1, 0.15 and 0.2. Given the following formulas for approximating f'(x) -11f(x) + 18f(x + h) – 9f(x + 2h) + 2f (x + 3h) f'(x) % (M1) -2f(x – h) – 3f(x) + 6f(x + h) – f(x +2h) S'(x) & (м2) 6h f'(x) f(x – 2h) – 6f(x – h) + 3f(x) + 2ƒ(x + h) 6h (м3) f'(x) -2f (x – 3h) + 9f(x – 2h) – 18f(x – ħ) + 11f(x) 6h (M4) Which one of the above formulas will best approximate f'(0.1)? O M1 O M2 O M3 O M4

Suppose that the values of a smooth function f are known for x = -0.15, –0.1, 0,0.1, 0.15 and 0.2. Given the following formulas for approximating f'(x) -11f(x) + 18f(x + h) – 9f(x + 2h) + 2f (x + 3h) f'(x) % (M1) -2f(x – h) – 3f(x) + 6f(x + h) – f(x +2h) S'(x) & (м2) 6h f'(x) f(x – 2h) – 6f(x – h) + 3f(x) + 2ƒ(x + h) 6h (м3) f'(x) -2f (x – 3h) + 9f(x – 2h) – 18f(x – ħ) + 11f(x) 6h (M4) Which one of the above formulas will best approximate f'(0.1)? O M1 O M2 O M3 O M4

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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Suppose that the values of a smooth function f are known for x = -0.15, –0.1,0,0.1, 0.15 and 0.2. Given the following formulas for approximating f'(x) -11f(x) + 18f(x +h) – 9f(x + 2h) + 2f(x + 3h) f'(x) % (м1) 6h L'G) 2f(x – h) – 3F(x) + 6ƒ(x + h) – F(x + 2k) (м2) 6h f'(x) f(x – 2h) – 6f(x – h) + 3f(x) + 2f(x + h) 6h (м3) f'e) -2f(x – 3h) + 9f(x – 2h) – 18f(x – h) + 11f(x) (м4) 6h Which one of the above formulas will best approximate f' (0.1)? M1 M2 M3 M4
Transcribed Image Text:Suppose that the values of a smooth function f are known for x = -0.15, –0.1,0,0.1, 0.15 and 0.2. Given the following formulas for approximating f'(x) -11f(x) + 18f(x +h) – 9f(x + 2h) + 2f(x + 3h) f'(x) % (м1) 6h L'G) 2f(x – h) – 3F(x) + 6ƒ(x + h) – F(x + 2k) (м2) 6h f'(x) f(x – 2h) – 6f(x – h) + 3f(x) + 2f(x + h) 6h (м3) f'e) -2f(x – 3h) + 9f(x – 2h) – 18f(x – h) + 11f(x) (м4) 6h Which one of the above formulas will best approximate f' (0.1)? M1 M2 M3 M4
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