It is given that at the function


It is given that at $x=1$, the function $x^{4}-62 x^{2}+a x+9$ attains its maximum value, on the interval $[0,2]$. Find the value of $a$.


Let $f(x)=x^{4}-62 x^{2}+a x+9$

$\therefore f^{\prime}(x)=4 x^{3}-124 x+a$

It is given that function f attains its maximum value on the interval [0, 2] at x = 1.

$\therefore f^{\prime}(1)=0$

$\Rightarrow 4-124+a=0$

$\Rightarrow a=120$

Hence, the value of a is 120.

Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now