Maximizing/Minimizing Points of z=-3x^2+54x+52y-3xy-2y^2+100

[MichaelB1301]

How do you max/min points of the following equation

z=-3x^2+54x+52y-3xy-2y^2+100

regards

mb

 

[Char. Limit]

Find the points where dz/dx = dz/dy = 0. Use the second partial derivative test to check whether they are minima or maxima.

 

[AdkinsJr]

I would add that this isn't an implicit function. It's just two-variable. It's explicity defined
z=f(x,y) so finding the partials is pretty straight forward.