Applications Of Derivatives Question 320

Question: The sufficient conditions for the function $ f:R\to R $ is to be maximum at $ x=a $ , will be

Options:

A) $ f’(a)>0 $ and $ f’’(a)>0 $

B) $ f’(a)=0 $ and $ f’’(a)=0 $

C) $ f’(a)=0 $ and $ f’’(a)<0 $

D) $ f’(a)>0 $ and $ f’’(a)<0 $

Show Answer

Answer:

Correct Answer: C

Solution:

Given function $ f:R\to R $ is to be maximum, if $ {f}’(a)=0 $ and $ {f}’’(a)<0 $ .