If y=5 x-3 x, then d^2 y d x^2 is equal to - Vidyadip

Question

If $y=5 \cos x-3 \sin x$, then $\frac{d^2 y}{d x^2}$ is equal to

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Answer

$\text {We have, } y=5 \cos x-3 \sin x$
$\Rightarrow \frac{d y}{d x}=-5 \sin x-3 \cos x$
$\Rightarrow \frac{d^2 y}{d x^2}=-5 \cos x+3 \sin x=-y$

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