Examine the function f(x, y) = x^3 - 6xy + y^3 + 7 for relative extrema and saddle points.

The points are "(2,2)".

Step-by-step explanation:

Given value:

Finding the first partial derivation which is equal to 0.

solve both the above equation by equal to 0.

For equation (a)

For equation (b)

by solving the above value in the form of x we get:

by solving the above value in the form of y we get:

Solve the value by applying the second derivation method:

calculating the value of discriminate:

The critical point of the given equation will be (2,2)

the first option is the answer.

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation: