Our goal is to approximate the positive real number x that satisfies sin(x) = x³. We will apply Newton's method to the polynomial f(x) = x³ = sin(x) What is f'(x)?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Our goal is to approximate the positive real number x that satisfies
sin(x) = x³.
We will apply Newton's method to the polynomial
f(x) = x³ = sin(x)
What is f'(x)?
Select one:
a. 3x² + cos(x)
b. -3x² sin(x) - x³ cos(x)
+ cos(x)
d.
3x² - cos(x)
e. -3x² cos(x)
Of. - cos(x)
4
C.
Transcribed Image Text:Our goal is to approximate the positive real number x that satisfies sin(x) = x³. We will apply Newton's method to the polynomial f(x) = x³ = sin(x) What is f'(x)? Select one: a. 3x² + cos(x) b. -3x² sin(x) - x³ cos(x) + cos(x) d. 3x² - cos(x) e. -3x² cos(x) Of. - cos(x) 4 C.
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