Question

define stationary point
critical point and relative extreme value​

Answer 1

The definition of a critical point is one where the derivative is either 0 or undefined. A ststionary point is where the derivative is 0 and only zero.

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Answer 2

Stationary point;

In mathematics, particularly in calculus, a stationary point of a differentiable function of one variable is a point on the graph of the function where the function's derivative is zero. Informally, it is a point where the function "stops" increasing or decreasing (hence the name).

Critical point;

Another term for stationary point.

Relative extreme value;

Relative and absolute extrema. The term extremum (extrema in plural) is used to describe a value that is a minimum or a maximum of all function values. Function achieves relative maximum or relative minimum (relative extrema) at points, at which it changes from increasing to decreasing, or vice versa.

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