1. A critical number of f′(x) is an inflection point of f(x). True or False 2. If the radius of a circle is increasing at a constant rate, then so is the circumference. True or False 3. If two variables x and y are functions of t and are related by the equation y = 1 −x^2, then dy/dt = −2x. True or False 4. When finding the global minimum of a function on an interval, you must use the first or second derivative test to verify that your point is a global minimum. True or False
1. A critical number of f′(x) is an inflection point of f(x). True or False 2. If the radius of a circle is increasing at a constant rate, then so is the circumference. True or False 3. If two variables x and y are functions of t and are related by the equation y = 1 −x^2, then dy/dt = −2x. True or False 4. When finding the global minimum of a function on an interval, you must use the first or second derivative test to verify that your point is a global minimum. True or False
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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1. A critical number of f′(x) is an inflection point of f(x).
True or False
2. If the radius of a circle is increasing at a constant rate, then so is the circumference.
True or False
3. If two variables x and y are functions of t and are related by the equation
y = 1 −x^2, then dy/dt = −2x.
True or False
4. When finding the global minimum of a function on an interval, you must use
the first or second derivative test to verify that your point is a global minimum.
True or False
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