f(x) = 5x¹ + 3x³ 06 0.4 1. With x= -0.60, x= -0.55, x= -0.50, x= -0.45, x= -0.40, x= -0.35, x= -0.30, find f"(-0.45) using: d) 5-point Central Difference e) 3-point Backward difference f) 3-point Forward Difference

f(x) = 5x¹ + 3x³ 06 0.4 1. With x= -0.60, x= -0.55, x= -0.50, x= -0.45, x= -0.40, x= -0.35, x= -0.30, find f"(-0.45) using: d) 5-point Central Difference e) 3-point Backward difference f) 3-point Forward Difference

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 21T

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Question

-08
Problem 2: Consider the function:
ƒ(x) = 5x² + 3x³
0.8-
0.6-
0.4-
-0.
-0.4
-0.2+
0.2
0.4
0.6
1.
With x= -0.60, x= -0.55, x= -0.50, x= -0.45,
x= -0.40, x= -0.35, x= -0.30, find f"(-0.45) using:
d) 5-point Central Difference
e) 3-point Backward difference
f) 3-point Forward Difference
2. Compute the relative error (%) for each method
0.8

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