0 votes 0 votes While minimizing the function $f(x)$, necessary and sufficient conditions for a point, $x_0$ to be a minima are: $f’(x_0) > 0$ and $f’’(x_0)=0$ $f’(x_0) < 0$ and $f’’(x_0)=0$ $f’(x_0) = 0$ and $f’’(x_0)<0$ $f’(x_0) = 0$ and $f’’(x_0)>0$ Calculus gate2015-ce-2 calculus maxima-minima + – Milicevic3306 asked Mar 26, 2018 edited Mar 11, 2021 by Lakshman Bhaiya Milicevic3306 11.9k points answer See all 0 reply