Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 + 16y2 + 288x - 192y + 576 - 0 horizontal tangents (x, y) = 4.0 (smaller y-value) (x, y) = (-4,2 (larger y-value) vertical tangents (х, у) %3D -8,6 (smaller x-value) C06 (larger Yalvalue)

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...
Question
Find the points at which the graph of the equation has a vertical or horizontal tangent line.
36x2 + 16y2 + 288x – 192y + 576 = 0
horizontal tangents
(x, y) = ( 4,0
(smaller y-value)
(х, у) 3 (| —4,2
(larger y-value)
vertical tangents
(х, у) %3D
(-8,6
(smaller x-value)
(x, y) = (| 0,6
(larger x-value)
Transcribed Image Text:Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 + 16y2 + 288x – 192y + 576 = 0 horizontal tangents (x, y) = ( 4,0 (smaller y-value) (х, у) 3 (| —4,2 (larger y-value) vertical tangents (х, у) %3D (-8,6 (smaller x-value) (x, y) = (| 0,6 (larger x-value)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning