Find the points on the curve where the tangent is horizontal or vertical. You may want to use a graph from a calculator or computer to check your work. (If an answer does not exist, enter DNE.) x = t3 − 3t,    y = t2 − 2 horizontal tangent (x, y) =             vertical tangent (smaller x-value) (x, y) =             vertical tangent (larger x-value) (x, y) =

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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 points on the curve where the tangent is horizontal or vertical. You may want to use a graph from a calculator or computer to check your work. (If an answer does not exist, enter DNE.)
x = t3 − 3t,    y = t2 − 2
horizontal tangent
(x, y)
=
 
 
 
 
 
 
 
vertical tangent (smaller x-value)
(x, y)
=
 
 
 
 
 
 
 
vertical tangent (larger x-value)
(x, y)
=
 
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