The CriticalPoints(f(x), x) command returns all critical points of f(x) as a list of values.

The CriticalPoints(f(x), x = a..b) command returns all critical points of f(x) in the interval [a,b] as a list of values.

If the independent variable can be uniquely determined from the expression, the parameter x need not be included in the calling sequence.

A critical point is defined as any point at which the derivative is either zero or does not exist.

If the expression has an infinite number of critical points, a warning message and sample critical points are returned.

The opts argument can contain the following equation that sets computation options.

numeric = true or false

Whether to use numeric methods (using floating-point computations) to find the critical points of the expression. If this option is set to true, the points a and b must be finite and are set to  and  if they are not provided. By default, the value is false.