# How do you find the number c that satisfies the conclusion of Rolle's Theorem #f(x) = x^3 - x^2 - 20x + 3# on interval [0, 5]?

##### 1 Answer

Solve

#### Explanation:

It is best to first check: this

This means that this function on this intevral satisfies the hypotheses for Rolle's Theorem.

So the conclusion of Rolle's Theorem must also be true in this case.

The conclusion of Rolle's Theorem says there is a

at

We know that

so

We can trust the theorem and conclude that the

therefore