Differentiate $\cot x$ .

\operatorname{cosec}^{2} x

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- \frac{2}{\sin 2x}

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- \operatorname{cosec}^{2} x

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2 \cot x \operatorname{cosec}^{2} x

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

$\frac{d}{dx}\left(\cot x\right) = - \operatorname{cosec}^{2} x$ , a standard derivative.
Keep the sign: the derivatives of the co-functions (cos, cot, cosec) are negative.

Worth noting

$\operatorname{cosec}^{2} x$ has the wrong sign.

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.

Differentiate cot⁡x\cot xcotx.