If y=5cos⁡x−3sin⁡x , then d2ydx2 is equal to:

y=5cos⁡x−3sin⁡x⇒dydx=−5sin⁡x−3cos⁡x⇒d2ydx2=−5cos⁡x+3sin⁡x=−y

If y=5cos⁡x−3sin⁡x , then d2ydx2 is equal to:

y=5cos⁡x−3sin⁡x⇒dydx=−5sin⁡x−3cos⁡x⇒d2ydx2=−5cos⁡x+3sin⁡x=−y

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

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$\begin{aligned} y = 5 \cos x - 3 \sin x \Rightarrow \frac{dy}{dx} = - 5 \sin x - 3 \cos x \\ \Rightarrow \frac{d^{2} y}{{dx}^{2}} = - 5 \cos x + 3 \sin x = - y \end{aligned}$

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If y=5cos⁡x−3sin⁡x , then d2ydx2 is equal to:

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