Calc question

WatkinsonMolly

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Oct 24, 2011
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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''?
 
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