[Steps Shown] Given that y= sin (3 x) show that (d y)/(d x)=3 sin (3 x+(π)/(2)) then show that (d^3 y)/(d x^3)= 3^3 sin


Question: Given that \(y=\sin (3 x)\) show that \(\frac{d y}{d x}=3 \sin \left(3 x+\frac{\pi}{2}\right)\) then show that \(\frac{d^{3} y}{d x^{3}}=\) \(3^{3} \sin 3\left(x+\frac{\pi}{2}\right)\)

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