Please help!!! So bad!!
1) Find the absolute Maximum and absolute minimum of the given function on the specified interval. Enter none if doesn't exist.
f(x)=x^(3)+3x^(2)+14 ; -3≤x≤2

Question

Please help!!! So bad!!
1) Find the absolute Maximum and absolute minimum of the given function on the specified interval. Enter none if doesn't exist. 
f(x)=x^(3)+3x^(2)+14 ; -3≤x≤2

anonymous · Answer

ok can u tell me what the critical numbers are here?

anonymous · Answer

-2 and 0

anonymous · Answer

apply third derivative test after having critical nos 
-2,0

anonymous · Answer

What about -3 and 2

anonymous · Answer

be careful check at the end points of domain -3,2

anonymous · Answer

ok to find the Max, which should i plug it in?

anonymous · Answer

-3, -2 ,0 and 2

anonymous · Answer

those are not the answer, the want a Max and min # s and the Max is big.. I gues i have to plug some numbers.. to get it..

anonymous · Answer

no if the answer be then it will be only among these

anonymous · Answer

So, which exactly think it is?

anonymous · Answer

hey just substitute them one by one

anonymous · Answer

Ohh I see... let me try again.

anonymous · Answer

You guys are awesome... thanks!!

anonymous · Answer

they want min= 14 and Max= 34
I used 2 and plugged it in to the equation. and gave me 34.

Thanks anyway!!! ;))