Find the local maximum and minimum values of the function f(x) = -x 36 using the Second Derivative Test. Enter the points in increasing order of their x-coordinates. Enter the first point in the form (x, y): The sign of f" (x) at this point is Based on your answer, the conclusion is positive there is a local minimum Enter the second point in the form (x, y): The sign of f" (x) at this point is negative Based on your answer, the conclusion is there is a local maximum A

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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Find the local maximum and minimum values of the function f (x) = -x
Test.
Enter the points in increasing order of their x-coordinates.
Enter the first point in the form (x, y):
The sign of f" (x) at this point is
Based on your answer, the conclusion is
positive
there is a local minimum
Enter the second point in the form (x, y):
The sign of f" (x) at this point is
Based on your answer, the conclusion is there is a local maximum
negative
AG
Ay
-
A₂.
36
using the Second Derivative
Transcribed Image Text:Find the local maximum and minimum values of the function f (x) = -x Test. Enter the points in increasing order of their x-coordinates. Enter the first point in the form (x, y): The sign of f" (x) at this point is Based on your answer, the conclusion is positive there is a local minimum Enter the second point in the form (x, y): The sign of f" (x) at this point is Based on your answer, the conclusion is there is a local maximum negative AG Ay - A₂. 36 using the Second Derivative
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