Second Derivative Test & Hessian · Multivariable Calculus · Varsity Tutors

Multivariable Calculus Quiz

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OPTIMIZATION IN SEVERAL VARIABLES

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A function

f(x, y)

has a critical point

P

where

f_{xx}(P) = -5

and

f_{xy}(P) = f_{yy}(P)

. Let

k = f_{xy}(P)

. For what values of

k

does the Second Derivative Test classify the point

P

as a local maximum?

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