Find the local extrema of the function

[A.k]

Given real function of two variables: f(x, y) = x 2 + 2x cos y + 1 .
Find the local extrema of the function

 

[Otis]

x 2

Hello A.k. Is that supposed to be x^2 ?

cos y + 1

Is that supposed to be cos(y) + 1 ?

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?

 

[Deleted member 4993]

Given real function of two variables: f(x, y) = x 2 + 2x cos y + 1 .
Find the local extrema of the function

What are the characteristics of local maxima/minima (extrema)?

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Please share your work/thoughts about this problem.

 

[A.k]

Hello A.k. Is that supposed to be x^2 ?


Is that supposed to be cos(y) + 1 ?

Please read and follow the forum guidelines. Use the Preview button to proofread your posts before submitting. Share what you've tried or thought about, so far. Thank you!

?

Hello Otis sorry it should be x²+2xcos(y)+1
and my problem is to find the critical point and other point if you could help i will be grateful.

Thank you