# Rolle's Theorem

- Author:
- Simona Riva

- Topic:
- Differential Calculus

Explore the function and find the points at which the

*Rolle's Theorem*for a real function holds true. Define the*function*in the*f*(*x*) box, and the*start point*and**a***end point***of the interval in the related boxes (you can also drag points***b***and***a***in the***b**Graphics View*). Move point**along the***c**x*-axis to view the tangent line to the function graph, as well as the value of its slope in the left View.For each problem, determine if in
in
in

*Rolle's Theorem*can be applied. If it can, find all values of*c*that satisfy the theorem. If it cannot, explain why.