The problem reads like this:
Is it possible for a continuous smooth function g(x) on the domain [-6, 6] to have an absolute maximum at a point x0 in [-6, 6] without the derivative f'(x0) being 0? If so, draw an example of such a function.
Here are my workings:
I think that it is not posible to have absolute maximum without being f'(x0) = 0. Am I correct?