jnu sis 2006

[AS]

find the extreme value of

z=8x3+2xy-3x2+y2+1


8x3= eight x cube

[Dreyfus]

Extreme value is at (0,0) and (⅓,-⅓)

[Homer Simpson]

Vaibhav, am also getting these stationary points. however (0,0) is not satisfying condition for maxima and minima. Would this be a saddle point?

[The Villain]

yes i'm getting (0,0) as the saddle point.

[Dreyfus]

Yes at 0,0 H2<0 therefore its saddle point
And at ⅓,-⅓ H1>0 also H2>0 ..pt of minimum

[Homer Simpson]

 thanks guys!