Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

Let $y=m \sin r x+n \cos r x$. What is the value of $\frac{d^2 y}{d x^2}$ ?

Options:

$r y$

$-r y$

$r^2 y$

$-r^2 y$

Correct Answer:

$-r^2 y$

Explanation:

$y=m \sin r x+n \cos r x$

$\frac{dy}{dx} = mr \cos rx - nr \sin rx$

$\frac{d^2 y}{d x^2} = -mr^2 \sin rx - nr^2 \cos rx = -r^2y$

Option: 4