Use Newton's Method to approximate where the local maxima and minima of the function f(x) = 3x¹ + 8x³ + 12x² + 72x are located. Continue iterating until consecutive estimates are the same to 6 decimal places.
Use Newton's Method to approximate where the local maxima and minima of the function f(x) = 3x¹ + 8x³ + 12x² + 72x are located. Continue iterating until consecutive estimates are the same to 6 decimal places.
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:Use Newton's Method to approximate where the local maxima and minima of the
function
f(x) = 3x¹ + 8x³ + 12x² + 72x
are located. Continue iterating until consecutive estimates are the same to 6
decimal places.
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