- Find the minimum of the function f(x) = x³ — 5x³ – 16x + 3 using Newton's method for one variable function. Use intial quess x = 2.6 Tip: Calculate first and second derivative for function. Then iterate until x = xi+1 Insert the numerical value of first iteration of Newton's method here x_2=1 Insert the numerical value of second iteration of Newton's method here x_3=1 Verify your answer here = 1 x2= Verify your answer here x3 = 1
- Find the minimum of the function f(x) = x³ — 5x³ – 16x + 3 using Newton's method for one variable function. Use intial quess x = 2.6 Tip: Calculate first and second derivative for function. Then iterate until x = xi+1 Insert the numerical value of first iteration of Newton's method here x_2=1 Insert the numerical value of second iteration of Newton's method here x_3=1 Verify your answer here = 1 x2= Verify your answer here x3 = 1
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:-
Find the minimum of the function f(x) = x³ — 5x³ – 16x + 3 using Newton's method for
one variable function. Use intial quess x = 2.6 Tip: Calculate first and second derivative for
function. Then iterate until x = xi+1
Insert the numerical value of
first iteration of Newton's
method here
x_2=1
Insert the numerical value of
second iteration of Newton's
method here
x_3=1
Verify your answer here
= 1
x2=
Verify your answer here
x3 = 1
Transcribed Image Text:Insert the numerical value of
second iteration of Newton's
method here
x_3=1
Verify your answer here
x3=1
Insert the numerical value of
minimum value of function f(x)
here
x_min=1
Verify your answer here
xmin = 1
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