Mean value theorem  Derivative Applications
Mean value theorem
The idea of the Mean Value Theorem may be a little too abstract to grasp at first, so let’s describe it with a reallife example. Let’s say that if a plane travelled nonstop for 15 hours from London to Hawaii had an average speed of 500mph, then we can say with confidence that the plane must have flown exactly at 500mph at least once during the entire flight. In this section, we will learn about the concept and the application of the Mean Value Theorem in detail.
Lessons

1.
Consider the function $f\left( x \right) = 2{x^3}  5x  1$ on the interval [0, 2].