Upvote will be given. Write the solutions legbly. Given the data below, find the rate by which y is increasing/decreasing at x=2 and x = 3.1.51.60.37340.3261Xf(x)10.67672.50.084223.50.01596

First find the Lagrange interpolation polynomial and the find the derivatives at x=2 and x=3.

Answered: Given the data below, find the rate by…

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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Given the data below, find the rate by which y is increasing/decreasing at x=2 and x = 3. 1.5 1.6 0.3734 0.3261 X f(x) 1 0.6767 2.5 0.08422 3.5 0.01596