Hey guys so I need help on two questions that I'm sort of stuck on.
1. Find the critical numbers of the given function: f(x) = 2x3+x2+2x
So I got f'(x) = 6x2+2x+2
Factored out the 2(3x2+x+1)
I can't factor this out anymore, so is the answer there are no critical numbers?
2. Find the absolute max and min values of f on the given interval.
√ = square root
f(t) = 3√t * (8-t), [0,8]
So I used product rule on this one and got
f'(t) = 3/2√t * (8-t) - 3√t = 0
3(8-t)-3√t = 0
So, I'm uncertain about the critical numbers here as well are they 8 and 0?