Hi, I'm a mathematics student and I need help with a simple problem:
Given a C1 function f:[a,b]-->R, with a right-hand derivative f'(a) on a. Proof if the following statement is true or false.
If f'(a)=0, then f has a local maximum or a local minimum on a.
Thanks very much!!
That is exactly what I did in the first place, but the teacher wrote the following:
You have to place the function on an interval of the type [0,b], in your example, there is a local minimum on 0 in the interval [0,b]