True or False: Consider the following statement:

Question

A differentiable function must have a relative minimum between any two relative maxima.
Think about the First Derivative Test and decide if the statement is true or false.

I want to say that its true and that the question is just trying to make me second guess myself. If you have two relative maxima, then there has to be change between them, which (I believe) would result in a relative minima. Is this right?

Answer 1

it's true