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The derivative of  with respect to  is equal to 

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  1. 1
  2. -1
  3. 2
  4. None of these

Answer (Detailed Solution Below)

Option 1 : 1
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Detailed Solution

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Calculation

Lets and  

We have to find out

Putting x = tan θ, we get

  

∴   and

 

= cos-1(cos 2θ) = 2θ = 2 tan-1x

∴

∴

Hence option 1 is correct

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