Find the critical points of the following function. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the critical points. f(x.y) = 6y e× – 7 e Y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Question
Find the critical points of the following function. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum,
local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the critical points.
f(x,y) = 6y ex - 7 ey
What are the critical points?
(Type an ordered pair. Use a comma to separate answers as needed.)
Transcribed Image Text:Find the critical points of the following function. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the critical points. f(x,y) = 6y ex - 7 ey What are the critical points? (Type an ordered pair. Use a comma to separate answers as needed.)
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