Use an appropriate theorem to complete the following statement.

If $f$ is differentiable and $f(1) < f(4)$, then there is a number $c$, in the interval (, ) such that $f'(c)$ ? < = >

What theorem guarantees this? ? The Mean Value Theorem The Increasing Function Theorem The Constant Function Theorem The Racetrack Principle
(Be sure that you can carefully apply this theorem to obtain the indicated result!)