WatkinsonMolly
New member
- Joined
- Oct 24, 2011
- Messages
- 6
I have a homework question that states: The minimum and maximum of which of the following functions does not occur at a critical point in the given open interval:
A) y= 1/ ( x^2 (6 - x) ) , (1,5)
B) y= x - 6sqrt(x) , (4,16)
C) y= sin (pi/x) , (1,2)
D) y= 1/x + (x^2)/128 , (1,5)
E) y= (x-2)^2 , (0,4)
I thought that the critical points always gave a maximum and a minimum? So how can the maxes and mins here not occur at the zeroes of y''?
A) y= 1/ ( x^2 (6 - x) ) , (1,5)
B) y= x - 6sqrt(x) , (4,16)
C) y= sin (pi/x) , (1,2)
D) y= 1/x + (x^2)/128 , (1,5)
E) y= (x-2)^2 , (0,4)
I thought that the critical points always gave a maximum and a minimum? So how can the maxes and mins here not occur at the zeroes of y''?
