Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Continuity and Differentiability

Question:

The condition on a and b, such that for $y=\frac{a}{x}-\frac{b}{x^2}, \frac{d y}{d x}=0$ at x = 1 is:

Options:

b = 2a

b = -2b

a = 2b

b = -2a

Correct Answer:

a = 2b

Explanation:

The correct answer is Option (3) → a = 2b

$\frac{dy}{dx}=-\frac{a}{x^2}+\frac{2b}{x^3}$

$\left.\frac{dy}{dx}\right]_{x=1}=0=-a+2b$

$⇒a = 2b$