Question: Find all the local maxima, local minima, and saddle points of the function. f ( x , y ) = x 3 6 x y

Find all the local maxima, local minima, and saddle points of the function.

f(x,y)=x36xy+y3

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Part 1

A.

A local maximum occurs at

The local maximum value(s) is/are

B.

There are no local maxima.

Part 2

A.

A local minimum occurs at____

The local minimum value(s) is/are______

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