Q1. Let and use the chain rule: .

To get use the product rule. Note that to get the derivative of you might need to use the chain rule (although you might be capable of doing it by inspection).

Q2. Solve to get (as it happens) the single stationary point. Note: . Test the nature of this stationary point.

Note that the maximum and minimum values of f(x) will occur either at the turning point or an endpoint of the interval.