Help Entering Answers (1 point) Instructions: This problem has multiple parts. Y

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Help Entering Answers (1 point) Instructions: This problem has multiple parts. You will need to submit your answers twice for each part. The first time you submit your answers they will be checked for correctness. When your answer is correct, check the button Go on to Next Part (located below the answer box). Find and classify all the critical points off(x,y) 4xyey- y 4x(y+2) e-x The critical points of f are: (0,0),(1,-1) Separate points with commas.) and/O(1,-1)= Therefore (1,-1) is a ? D(0, 0) Therefore (0, 0) is a of f andf(0,0) 4 of f If you don't get this in 3 tries, you can see a similar example (online). However, try to use this as a last resort or after you have already solved the problem. There are no See Similar Examples on the Exams!

Explanation / Answer

Find

D = fxx fyy -(fxy)²

Now,

D(1, -1) = 16/e^4

fxx(1, -1) = 4/e²

Therefore (1,-1) is a Relative Minimum

===============

D(0,0) = -16

fxx(0,0) = 0

Therefore (0,0) is a Saddle point

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