Question

(1 point) Find the critical points for the function f(x,y)=x3+y3−6x2−27y−1 and classify each as a local maximum, local minimum, saddle point, or none of these. critical points: (give your points as a comma separated list of (x,y) coordinates.) classifications: (give your answers in a comma separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points)

Answer 1

Answer: critical points are (4,3) and (4,-3)

Point (4,3) is at relative minimum

Point (4,-3) is the saddle point

Explanation: