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Solve the first derivative of f(x) = e-2x In x at x 0.5 using forward finite-divided difference and a step size of h = 0.10.

Solve the first derivative of f(x) = e-2x In x at x 0.5 using forward finite-divided difference and a step size of h = 0.10.

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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Solve the following numerical solutions problem

1. Solve the first derivative of f(x) = e-2x In x at x = 0.5 using forward finite-divided difference and a step size of h = 0.10. 2. Solve the first derivative of f(x) = 52x+1 at x = 0.5 using backward finite-divided difference and a step size of h = 0.25. 3. Solve the first derivative of f(x) = eVx at x = 0.5 using centered finite-divided difference and a step size of h = 0.25. 4. Using n=6 approximate the value of sin x cos x dx. using Midpoint, Trapezoid and Simpson rules. Solve for the true errors. Use 6 decimal places. Tabulate your final answers.
Transcribed Image Text:1. Solve the first derivative of f(x) = e-2x In x at x = 0.5 using forward finite-divided difference and a step size of h = 0.10. 2. Solve the first derivative of f(x) = 52x+1 at x = 0.5 using backward finite-divided difference and a step size of h = 0.25. 3. Solve the first derivative of f(x) = eVx at x = 0.5 using centered finite-divided difference and a step size of h = 0.25. 4. Using n=6 approximate the value of sin x cos x dx. using Midpoint, Trapezoid and Simpson rules. Solve for the true errors. Use 6 decimal places. Tabulate your final answers.
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