How to prove a function has no local minima.? f : R 2 → R , of class C 2

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How to prove a function has no local minima.?  f  :            R        2    →      R   , of class       C    2

scapatofc · Accepted Answer

HINT                    ∂        2            f              ∂              x        2              &amp;lt;  0 or                     ∂        2            f              ∂              y        2              &amp;lt;  0what does it tell us? with regards to condition of minimumif you want more explanation as follows                    ∂        2            f              ∂              x        2              &amp;lt;  0 and                     ∂        2            f              ∂              y        2              &amp;gt;  0 again   D  &amp;lt;  0if both are negative then its local maxima

How to prove a function has no local minima.? f:R^2 rarr R , of class C^2

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