Find all the local minima, local maxima, and saddle points of the function f(x, y) = x² +2y2 – x²y.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Question
(a) Find equation of the tangent plane and normal line to the sphere x2
the point (-3,0,4).
(b) Find the point that makes the tangent plane to the surface z = x2 - x
%3D
horizontal.
Question 4.
Find all the local minima, local maxima, and saddle points of the function
f(x,y) = x² +2y² - x²y.
+ Q
- 1 1 is
77
Transcribed Image Text:(a) Find equation of the tangent plane and normal line to the sphere x2 the point (-3,0,4). (b) Find the point that makes the tangent plane to the surface z = x2 - x %3D horizontal. Question 4. Find all the local minima, local maxima, and saddle points of the function f(x,y) = x² +2y² - x²y. + Q - 1 1 is 77
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