# how to find a local maximum?

Hello. I'm fairly new to Sage, so lets see if someone more experienced can help!

Say I have a function f(x) continuous in [a,b] and derivable in (a,b). How can I implement in Sage a function 'maximum(f,a,b)' that returns the maximum of f(x) in [a,b] (as a numerical approximation, not as an expression)?

Thanks you a lot!