Find the (a) true error, (b) relative true error, (c) absolute relative true error of the following: 1. The derivative of f(x) = x³ + 2x +1 at x = 0.5 when h = 0.005. 2. The derivative of f(x) = (x2 + 3)³ at x = 3 when h = 0.01. 3. The derivative of f(x) = 2- at x 3 when h = 0.025. 4. The derivative of f(x) = In x at x = 3 when h = 0.002. 5. The derivative of f(x) = sin-(x- 1) at x = 1.5 when h = 0.0001. %3D %3D
Find the (a) true error, (b) relative true error, (c) absolute relative true error of the following: 1. The derivative of f(x) = x³ + 2x +1 at x = 0.5 when h = 0.005. 2. The derivative of f(x) = (x2 + 3)³ at x = 3 when h = 0.01. 3. The derivative of f(x) = 2- at x 3 when h = 0.025. 4. The derivative of f(x) = In x at x = 3 when h = 0.002. 5. The derivative of f(x) = sin-(x- 1) at x = 1.5 when h = 0.0001. %3D %3D
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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Transcribed Image Text:Find the (a) true error, (b) relative true error, (c) absolute relative true error of the following:
1. The derivative of f(x) = x3 +2x +1 at x = 0.5 when h = 0.005.
2. The derivative of f(x) = (x2 + 3) at x = 3 when h = 0.01.
3. The derivative of f(x) = 2-* at x 3 when h = 0.025.
4. The derivative of f(x) = In x at x = 3 when h = 0.002.
5. The derivative of f(x) = sin-(x - 1) at x = 1.5 when h = 0.0001.
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