Rolle's Theorem

This applet shows interactively the points in which the Rolle's Theorem for a real function holds true. Type the function expression in the field, and the interval start and end points in the and fields. Move point on the x-axis in order to view the different positions assumed by the tangent line to the function graph.
Verify whether the following functions satisfy the hypothesis of Rolle's Theorem in the given intervals, and hence find the point(s) as prescribed by the theorem: in in in