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The critical point exist for the function f(x, y) = x^n + x^n-1 y +……+y^n at (0,0).

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The critical point exist for the function f(x, y) = x^n + x^n-1 y +……+y^n at (0,0).

(a) True

(b) False

I have been asked this question in examination.

My question is based upon Maxima and Minima of Two Variables in chapter Maxima and Minima of Engineering Mathematics

1 Answer

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Best answer
Correct answer is (b) False

Explanation: Counter example is with n=1

f(x, y) = x + y.

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