here is what you do if f(t)= = ....you can simplify it further but I see no point...well then f'(t)= set that equal to zero and you get t=0...so the other thing you need to check is where f'(t) is undefined...in this case that is at t= 1...and finally where the original function is undefined on the domain...and that is nowhere...therfore I'd use the critical numbers = 1 and t=0 to set up the following test intervals (-∞,-1)(-1,0)(0,1)(1,∞) test a value that is an element of each in the first derivative...i will testf'(-2).f'(-.5),f'(.5),f'(2) respectively...we see that there is a sign change at t=-2,t=-.5, and t=.5...there are your max and min points...to find their value plug them back into f(t)