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Do I disregard the f_xy and f_yx?

We will use it them if the conditions above doesn't fit.

and both f_xx and f_yy would be equal to zero only when x and y are equal to 0

Oh, I am sorry, to find max/min, we use \(f_x=0,f_y=0\) not \(f_{xx}, f_{yy}\)

Tell me , what do you get for the point?

so for the points that make f_y equal to zero, did you get x=0 or 1^(1/3)?

oh, ok, I forgot that condition. YOu are correct

now, check the same expression for (1,1)

wait whats the f^2_xy?

\(f_{xy}=3\rightarrow f_{xy}^2=9\)

ok thought so

What is the purpose of FxxFyy-F^2xy?

I got 27 btw

Yes, so it is >0, right? --> (1,1) either max or min.
Now, consider if it is max or min by :

\(f_{xx}\) at (1,1)= ?
\(f_{yy}\) at (1,1) =?

They're both negative meaning its a max

yyyyyyyyyyyyyyyyyyyyyyyyyyyes

You got it.

Wait what was the FxxFyy-Fxy thing
I havent seen that yet

Was that just to determine the value of the point?

Where did the formula come from?

Whats a Saddle point? again, sorry for all the questions

Nevermind i got it. Thanks so much