Critical point (mathematics)

In mathematics, a critical point (or critical number) is a point on the domain of a function where the derivative is infinite, undefined, or equal to zero. The last kind is a stationary point.

In higher dimensions, and for functions of several variables, this concept becomes a point where the rank of the derivative (Jacobian matrix) is not maximal (see submersion).

See also: Critical point (mathematics), 0 (number), Derivative, Domain of a function, Equality (mathematics), Function (mathematics), Infinite, Jacobian matrix, Mathematics