Question

# Find the critical points, relative extrema, and saddle points of the function. (If an answer does not exist, enter

DNE.)

*f*(*x*, *y*) = *x*^{3} + *y*^{3} − 12*x*^{2} + 18*y*^{2} + 48*x* + 108*y* + 162

Relative maximum of *f*(*x*, *y*) = __ __at (*x*, *y*) =__. __

Relative minimum of *f*(*x*, *y*) = __ __at (*x*, *y*) =__. __

saddle point of *f*(*x*, *y*) = __ __at (*x*, *y*) =__. __

List the critical point for which the Second-Partials Test fails. (x,y)= __ __

#### Top Answer

the only critical point is (4, -6) and... View the full answer