Find the derivative of cot3x.

1.	Find the derivative of cot3x.
Answer» Let, y = cot³x ∴ \(\frac{dy}{dx}=\frac{d}{dx}(cot^3\,x)\) \(=3\,cot^2\frac{d}{dx}(cot\,x)\) \(=3\,cot^2\,x(-cosec^2\,x)\) \(=3\,cot^2\,x.cosec^2\,x\)

Answer»

Let,

y = cot³x

∴ \(\frac{dy}{dx}=\frac{d}{dx}(cot^3\,x)\)

\(=3\,cot^2\frac{d}{dx}(cot\,x)\)

\(=3\,cot^2\,x(-cosec^2\,x)\)

\(=3\,cot^2\,x.cosec^2\,x\)

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