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CO3 Given is a function f(x) = ex sin(x) a) Find the first derivative of the function using forward differentiation for x =2 with step size h = 0.25 and h = 0.125 and calculate the truncation error for both h. b) Approximate the derivative of f(x) at x = 1 with step size h = 0.25 and h = 0.125 using the central difference method up to 5 significant figures. c) Compute D¹0.25 at x = = 1 using Richardson extrapolation method up to 5 significant figures.

CO3 Given is a function f(x) = ex sin(x) a) Find the first derivative of the function using forward differentiation for x =2 with step size h = 0.25 and h = 0.125 and calculate the truncation error for both h. b) Approximate the derivative of f(x) at x = 1 with step size h = 0.25 and h = 0.125 using the central difference method up to 5 significant figures. c) Compute D¹0.25 at x = = 1 using Richardson extrapolation method up to 5 significant figures.

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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2. CO3 Given is a function f(x) = e** sin(x) a) Find the first derivative of the function using forward differentiation for x =2 with step size h = 0.25 and h = 0.125 and calculate the truncation error for both h. b) Approximate the derivative of f(x) at x = 1 with step size h = 0.25 and h = 0.125 using the central difference method up to 5 significant figures. c) Compute D¹0.25 at x = 1 using Richardson extrapolation method up to 5 significant figures.
Transcribed Image Text:2. CO3 Given is a function f(x) = e** sin(x) a) Find the first derivative of the function using forward differentiation for x =2 with step size h = 0.25 and h = 0.125 and calculate the truncation error for both h. b) Approximate the derivative of f(x) at x = 1 with step size h = 0.25 and h = 0.125 using the central difference method up to 5 significant figures. c) Compute D¹0.25 at x = 1 using Richardson extrapolation method up to 5 significant figures.
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