## Rolle's theoremSuppose a continuous function (see continuity) crosses the x-axis at two points a and b and
is differentiable at all points between a and b; that
is it has a tangent at all points on the
curve between a and b. Then there is at least one point
between a and b where the derivative
is 0, and the tangent is parallel to the x-axis. ## Related category• CALCULUS AND ANALYSIS | |||||

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