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 $ .