Finding The Minimums, Maximums, And Saddle Points Of A Graph.

[Baumer8993]

Homework Statement

Find the maximums, minimums, and saddle points (if any) of

Z = 4Y³ + X² - 12Y² - 36Y +2

Homework Equations

The partial derivatives with respect to X , and Y.

The Attempt at a Solution

I took the two partials, and set them equal to zero. The problem is that there is not anything to substitute, and when I tried solving them there was no solution.

 

[Dick]

Homework Statement

Find the maximums, minimums, and saddle points (if any) of

Z = 4Y³ + X² - 12Y² - 36Y +2

Homework Equations

The partial derivatives with respect to X , and Y.

The Attempt at a Solution

I took the two partials, and set them equal to zero. The problem is that there is not anything to substitute, and when I tried solving them there was no solution.

Yes, there are solutions. Show your work.