1. Determine the true error and relative true error when approximating the derivative of ƒ(x) = -x² + 5x at x = 2 with h = 0.1. 2. Use the formula *+h)-/ to approximate the derivative of f(x) = 3x² at x = 1 using h = 0.1. Compute both the absolute true error and absolute S(x+h)-f(x) h relative true error.
1. Determine the true error and relative true error when approximating the derivative of ƒ(x) = -x² + 5x at x = 2 with h = 0.1. 2. Use the formula *+h)-/ to approximate the derivative of f(x) = 3x² at x = 1 using h = 0.1. Compute both the absolute true error and absolute S(x+h)-f(x) h relative true error.
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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