For a function of two variables, describe saddle point.

sagnuhh

sagnuhh

Answered question

2021-05-31

For a function of two variables, describe saddle point.

Answer & Explanation

Faiza Fuller

Faiza Fuller

Skilled2021-06-01Added 108 answers

Let f be a function with two variables with continuous second order partial derivatives f×,fyy and fxy at a critical point (a,b).
Let D=f×(a,b)fyy(a,b)fxy2(a,b)
If D < 0 then f has a saddle point at (a,b).

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