Help would be much appreciated ^.^
-Find the absolute and local maximum and minimum values of f(t) = 2/t + 10 , 0

Question

Help would be much appreciated ^.^
-Find the absolute and local maximum and minimum values of f(t) = 2/t + 10 , 0 < t ≤ 4

myininaya · Answer

Well we know we need to find f'(t)
is f(t)=2/t+10 or f(t)=2/(t+10)?

anonymous · Answer

the 1st one :)

myininaya · Answer

just so i can know to check your derivative

myininaya · Answer

ok cool

myininaya · Answer

$$f(t)=\frac{2}{t}+10 \ f(t)=2t^{-1}+10 \$$
do you know how to find f'?

anonymous · Answer

Yes! It's $$f'(t)= \frac{ -2 }{ t^2 }$$ am I right?

myininaya · Answer

yes and f' is not zero ever
but f' dne at t=0 but we f(0) also doesn't exist 
at t=0 we actually have a vertical asymptote 
|dw:1434748364786:dw|
so we don't have to worry about critical numbers but this just shows we also don't have any max of any type
but w do have a min and it is an absolute min (you know since local min can't occur at endpoints)