Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

If $y=6x+\frac{4}{x}$ then $\frac{d^2y}{dx^2}$ at $x=2$ is :

Options:

-1

-2

2

1

Correct Answer:

1

Explanation:

The correct answer is Option (4) → 1

$y=6x+\frac{4}{x}$

$⇒\frac{dy}{dx}=6-\frac{4}{x^2}$

$⇒\frac{d^2y}{dx^2}=\frac{4×2}{x^2}=\frac{8}{x^2}$

$\left.\frac{d^2y}{dx^2}\right|_{x=2}=\frac{8}{8}=1$