6.5 Finding Local Extreme Values

Find the critical points of the function and classify them using the second derivative test

1 f(x,y) = -x3+4xy-2y2+1

2 f(x,y) = x2+y2+x2y+4

3 f(x,y) = x3 + 6x2 + 9x + y3 + 9y2 + 15y + 8

6.5 Finding Local Extreme Values Find the critical points of the function and classify them using the second derivative test 1 f(x,y) = -x3+4xy-2y-+1 2 f ( x, y ) = x ty +xy+4 3 f ( x, y) = x3 + 6x + 9x + y3 + 9y? + 15y+8