List the Critical Points of the Function $f ( x , y ) = ( x - 9 ) ^ { 5 } ( y + 5 ) ^ { 3 } \text { for which the }$

Multiple Choice

List the critical points of the function $f ( x , y ) = ( x - 9 ) ^ { 5 } ( y + 5 ) ^ { 3 } \text { for which the }$ Second Partial Test fails.

A) Test fails at $( - 9 , a )$ and $( b , 5 )$ .
B) Test fails only at $( 9 , - 5 )$ .
C) Test fails at $( 9 , a )$ and $( b , - 5 )$ .
D) Test fails at $( 9 , a )$ and $( b , 5 )$ .
E) Test fails only at $( 9,5 )$ .