Question

Difference between critical points,saddle points, and stationary points

Answer 1

All stationary points are critical pointsbut not all critical points are stationary points. ... Then, we have critical pointwherever f ′ ( c ) = 0 or wherever is not differentiable (or equivalently, is not defined). Points where is not defined are called singular points and pointswhere is 0 are called stationary points

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Answer 2

Explanation:

Critical points of a function of two variables are those points at which both partial derivatives of the function are zero. A critical point of a function of a single variable is either a local maximum, a local minimum, or neither. ... It has a saddle point at the origin.,

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.