AA In Exercises 37–38 use the method for Exercises 35–36 to approximate all critical numbers of f in the given interval, and use this information to determine the (approximate) extreme values of f on the given interval. 37. f(x) =x² + e*; (-1, 1] 38. f(x) =x* +x² + 2x + 6; [-4, 0]

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In Exercises 35-36 use the Newton-Raphson method to
approximate all the critical numbers of f in the given interval.
To obtain your initial guess, plot the graph of f. Then continue
until successive iterations obtained by the calculator are
identical.
35. f(x) =x* +x' - x – 1 for –3 <x<1
36. f(x) = x cos x for –5 <x <5
%3D
t In Exercises 37-38 use the method for Exercises 35–36 to
approximate all critical numbers of f in the given interval, and
use this information to determine the (approximate) extreme
values of f on the given interval.
given
ers in
37. f(x) =x² + e"; [-1, 1]
38. f(x) =x* + x' + 2x + 6; [-4, 0]
Transcribed Image Text:In Exercises 35-36 use the Newton-Raphson method to approximate all the critical numbers of f in the given interval. To obtain your initial guess, plot the graph of f. Then continue until successive iterations obtained by the calculator are identical. 35. f(x) =x* +x' - x – 1 for –3 <x<1 36. f(x) = x cos x for –5 <x <5 %3D t In Exercises 37-38 use the method for Exercises 35–36 to approximate all critical numbers of f in the given interval, and use this information to determine the (approximate) extreme values of f on the given interval. given ers in 37. f(x) =x² + e"; [-1, 1] 38. f(x) =x* + x' + 2x + 6; [-4, 0]
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