Applications Of Derivatives Question 306
The necessary condition for a function to have a maximum or minimum is
Options:
A) $ f’(x)=0 $ and it is necessary
B) $ f’’(x)=0 $ and it is necessary
C) $ f’(x)=0 $ but it is not sufficient
D) $ f’(x)=0 $ and $ f’’(x)=-ve $
Show Answer
Answer:
Correct Answer: C
Solution:
The necessary condition to be maximum or minimum for a function is $ {f}’(x)=0 $ and for maximum $ {f}’’(x)<0 $ and for minimum $ {f}’’(x)>0 $ .
Hence $ f’(x)=0 $ , but it is not sufficient.
BETA
