If $y=5cosx-3sinx,$ then $\frac{d^2y}{dx

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

If $y=5cosx-3sinx,$ then $\frac{d^2y}{dx^2}$ is equal to :

Options:

$y$

$-y$

$2y$

$-2y$

Correct Answer:

$-y$

Explanation:

The correct answer is Option (2) → $-y$

$y=5\cos x-3\sin x$

$y'=-5\sin x-3\cos x$

$y''=-5\cos x+3\sin x=-y$

so $y''=-y$