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What is the derivative of `1/(tan^2x)`

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lxsptter | Student, Undergraduate | (Level 2) Valedictorian

Posted May 7, 2012 at 7:11 PM via web

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What is the derivative of `1/(tan^2x)`

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 7, 2012 at 7:15 PM (Answer #1)

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The derivative of `1/(tan^2x)` has to be determined.


=> `cot^2x`

Use the product rule to find the derivative of `cot^2x` .

This gives `2*cot x*(-csc^2x)`

The derivative of `1/(tan^2x)` is` -2*cot x*csc^2x`

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prajjwalsubedi | Student, Grade 11 | eNotes Newbie

Posted May 14, 2012 at 12:50 AM (Answer #2)

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the required derivative is -2cotxcosec^2x

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