For the function (F: \R^2 → \R) specified as F(x, y) = x3 -... | Statistics, Econometrics & Mathematical Economics | SolveeIt | Solveeit

Today, August 23

Question

For the function $F: \R^2 → \R$ specified as F(x, y) = x3 - y3 + 9xy, which of the following options is/are correct

A

one saddle point

B

one strict local minimum

C

one strict local maximum

D

one global maximum

Answer

one saddle point

Explanation

Solution

The correct option is (A) : one saddle point and (B) : one strict local minimum.