
Max n Min
The charge in a capacitor over a three second period is given (numerically) by
f(t)=1/2t 0<=t<1
=1/2(t1) 1<=t<2
=1/2(t2) 2<=t<3
= 0 t=3
Does f(t) have a max or min in (0,3). Explain!
Do we take the first derivative? for each? That is what i did! Any help would be appreciated!

The function f(t) has as upper bound 1 and lower bound 0. However no values of t exists such that f(t)=1, so that the function doesn't have a maximum, and infinite values of t exist such that f(t)=0, so that the function has infinite minimum points where is f(t)=0...
Kind regards
$\displaystyle \chi$ $\displaystyle \sigma$

When dealing with hybrid functions a graph always helps.