Find the minimum value of the function f(x) = 2x² - 4x using iterated Mid-point technique. Iterate from (0 to 10) selecting two values of x such that f'(x) is of different sign that is (a = -1;b = 2). f'(x) must have a discontinuity or a root within the rang a ≤x≤b. Evaluate f'(x) at: Iter 0 1 2 3 4 5 6 7 8 9 10 a b C1 x = C₁ = a+b +/~ f'(a) f'(b) f'(C₁)
Find the minimum value of the function f(x) = 2x² - 4x using iterated Mid-point technique. Iterate from (0 to 10) selecting two values of x such that f'(x) is of different sign that is (a = -1;b = 2). f'(x) must have a discontinuity or a root within the rang a ≤x≤b. Evaluate f'(x) at: Iter 0 1 2 3 4 5 6 7 8 9 10 a b C1 x = C₁ = a+b +/~ f'(a) f'(b) f'(C₁)
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 value of the function f(x) = 2x² - 4x using iterated Mid-point technique. Iterate from
(0 to 10) selecting two values of x such that f'(x) is of different sign that is (a = -1; b = 2). f'(x) must
have a discontinuity or a root within the rang a ≤ x ≤ b. Evaluate f'(x) at:
Iter
0
1
2
3
4
5
6
7
8
9
10
a
b
C1
x = C₁ =
a+b
2
f'(a)
f'(b)
f'(C₁)
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