Definition:Critical Point (Analysis)

This page is about Critical Point in the context of Analysis. For other uses, see Critical Point.

Definition

A critical point is a point on a graph where the curve has a vertical tangent.

That is, where limit of the derivative tends to infinity.

Also see

• Results about critical points in the context of analysis can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): critical point: 2.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): critical point: 2.