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 $ .