Civil Engineering > GATE 2015 SET-2 > Calculus
While minimizing the function $f(x)$, necessary and sufficient conditions for a point, $x_0$ to be a minima are:
A
$f'(x_0) > 0$ and $f''(x_0) = 0$
B
$f'(x_0) < 0$ and $f''(x_0) = 0$
C
$f'(x_0) = 0$ and $f''(x_0) < 0$
D
$f'(x_0) = 0$ and $f''(x_0) > 0$

Correct : d

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