Applications Of Derivatives Question 121
Question: If the function $ f(x)=x^{4}-62x^{2}+ax+9 $ is maximum at $ x=1 $ , then the value of a is
Options:
A) 120
B) -120
C) 52
D) 128
Show Answer
Answer:
Correct Answer: A
Solution:
$ f(x)=x^{4}-62x^{2}+ax+9 $
For maxima, $ f’(x)=4x^{3}-124x+a=0 $
At $ x=1,,4{{(1)}^{3}}-124(1)+a=0\Rightarrow a=120 $ .