Question 4 Find all the local maxima, local minima, and saddle points of the function. f(x, v) = 36x2 + 54xy + Sly? O f(0,0) = 0, local minimum f(6, 9) = 10,773, saddle point; f(9,6) = 8748, saddle point f(54, 54) = 419,904, local maximum; f(0,0) = 0, local minimum O f(54, 54) = 419,904, local maximum

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 63E
icon
Related questions
Question
Question 4
Find all the local maxima, local minima, and saddle points of the function.
f(x, y) = 36x2 + 54xy + 8ly2
O f(0, 0) = 0, local minimum
f(6, 9) = 10,773, saddle point; f(9, 6) = 8748, saddle point
f(54, 54) = 419,904, local maximum; f(0, 0) = 0, local minimum
O f(54, 54) = 419,904, local maximum
Transcribed Image Text:Question 4 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = 36x2 + 54xy + 8ly2 O f(0, 0) = 0, local minimum f(6, 9) = 10,773, saddle point; f(9, 6) = 8748, saddle point f(54, 54) = 419,904, local maximum; f(0, 0) = 0, local minimum O f(54, 54) = 419,904, local maximum
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer