Question

-2.
What is the saddle point?
1
(A) Point where function has maximum value
(B) Point where function has minimum value
(C) Point where function has zero value
(D) Point where function neither have maximum value nor minimum value​

Answer 1

Answer:

a point at which a function of two variables has partial derivatives equal to zero but at which the function has neither a maximum nor a minimum value.

Answer 2

Answer: The function has neither a maximum nor a minimum value.

Step-by-step explanation:

A saddle point or minimax point in mathematics is a location on the graph's surface where the slopes (derivatives) in all orthogonal directions are zero (a critical point), but the location is not the function's local extremum. The crucial point that is at a relative minimum in one axial direction (between peaks) and at a relative maximum in the crossing axis is an illustration of a saddle point. But this is not necessary for a saddle point.

The Hessian matrix of the function at a particular point may be used as a quick way to determine if a given stationary point of a real-valued function F(x,y) of two real variables is a saddle point; if the Hessian is indefinite, then the location is a saddle point.

Hence at saddle point the function has neither a maximum nor a minimum value.

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