Consider the f (x, y) = By evaluating Show 4 at and Hence function 3 y³ + 3x²y - 6x ² the 2 6x² - 6y² + 2 first partial deriveratives, are 2 stationary points Stationary points of f there (0,0) and (0,4) find all other 162 + classify the two Stationary points (90) and (0,4) of f.

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...
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the
f (x, y)
By evaluating
Show
Consider
function
3
2
=
y³ + 3x²y = 6x² - 6y² + 2
first partial deriveratives,
are
2 Stationary points
and (0,4)
other Stationary points of f
that
at (0,0)
and
find
all
Hence, classify the
(90)
and
$
there
two Stationary points
(0,4) of f.
Transcribed Image Text:the f (x, y) By evaluating Show Consider function 3 2 = y³ + 3x²y = 6x² - 6y² + 2 first partial deriveratives, are 2 Stationary points and (0,4) other Stationary points of f that at (0,0) and find all Hence, classify the (90) and $ there two Stationary points (0,4) of f.
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