Extrema

[TheNextOne]

y = x^2/5 * (5 − x)^3/5

Find absolute extrema in the interval between [3,5]

Can anybody tell me the way to do this problem?

 

[TheNextOne]

I got a critical point of x= 2. Since that is not in the domain, should I ignore it and use 3 and 5 to evaluate the absolute extrema?

 

[tkhunny]

Perfect. Why are you doubting?