Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

Given that at x=1, the function $x^4-62x^2+ax+90$ attains its maximum value on the interval [0, 2]. The value of 'a' is :

Options:

130

120

-120

-128

Correct Answer:

120

Explanation:

The correct answer is Option (2) → 120

$y=x^4-62x^2+ax+90$

$\frac{dy}{dx}=4x^3-124x+a$

so $\left.\frac{dy}{dx}\right]_{x=1}=0$

so $4-124+a=0$

$a=120$