For the function f (x, y) = x3 3xy + y3, state what information(if any) is provided by

Chapter 13, Problem 3

(choose chapter or problem)

For the function $f(x, y)=x^{3}-3 x y+y^{3}$, state what information (if any) is provided by the second partials test at the point

(a) $(0,0)$ (b) $(-1,-1)$ (c) $(1,1)$.

Equation Transcription:

$f(x,\ y)={x}^{3}-3xy+{y}^{3}$

$(0,\ 0)$

$(-1,\ -1)$

$(1,\ 1)$

Text Transcription:

f(x, y)=x^3 -3xy +y^3

(0, 0)

(-1, -1)

(1, 1)

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