I have a homework Question to answer which is:
True or False: Between 2 sequential roots of $f'(x)$ there is at most one root for $f(x)$
I think this is true since $f(x)$ would be monotone unless $f'(x)$ is equal to $0$ on an interval - but in that case what are 2 sequential values of the roots?
Can someone help me with this question?
Thanks :)