Consider the following. Find the points (x,y) wheref(x,y) has a possible relative maximum or minimum. Then use the second-derivative test to determine, if possible, the nature off(x,y) at this point. If the second- derivative test is inconclusive, so state. (,) ---Select--- relative max relative min neither max nor min inconclusive B) Consider the following. Solution df(x,y)/dx = 2x-2y+4 df(x,y)/dy = -2x+6y-8 x-y+2=0 -x+3y-8=0 2y-6=0 y=3 x=1 b) 6y^2-6x^2 12xy-12y^3 -12x 12x-36y^2.

1. Consider the following.
Find the points (x,y) wheref(x,y) has a possible relative maximum or minimum. Then use the
second-derivative test to determine, if possible, the nature off(x,y) at this point. If the second-
derivative test is inconclusive, so state.
(,) ---Select--- relative max relative min neither max nor min inconclusive
B) Consider the following.
Solution
df(x,y)/dx = 2x-2y+4 df(x,y)/dy = -2x+6y-8 x-y+2=0 -x+3y-8=0 2y-6=0 y=3 x=1
b) 6y^2-6x^2 12xy-12y^3 -12x 12x-36y^2