While minimizing the function f(x), necessary and sufficient conditions for a point, x0 to be a minima are:

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TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$f'\left( {{x_0}} \right) > 0\;and\;f''\left( {{x_0}} \right) = 0$

TuteeHUB · Answer

$f'\left( {{x_0}} \right) < 0\;and\;f''\left( {{x_0}} \right) = 0$

TuteeHUB · Answer

$f'\left( {{x_0}} \right) = 0\;and\;f''\left( {{x_0}} \right) = 0$

TuteeHUB · Answer

$f'\left( {{x_0}} \right) = 0\;and\;f''\left( {{x_0}} \right) > 0$

1.	While minimizing the function f(x), necessary and sufficient conditions for a point, x0 to be a minima are:
A.	\(f'\left( {{x_0}} \right) > 0\;and\;f''\left( {{x_0}} \right) = 0\)
B.	\(f'\left( {{x_0}} \right) < 0\;and\;f''\left( {{x_0}} \right) = 0\)
C.	\(f'\left( {{x_0}} \right) = 0\;and\;f''\left( {{x_0}} \right) = 0\)
D.	\(f'\left( {{x_0}} \right) = 0\;and\;f''\left( {{x_0}} \right) > 0\)
Answer» E.

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