Differentiate each of the following w.r.t x:

To find: Value of ![]()
The formula used: (i) ![]()
(ii) ![]()
We have, ![]()
⇒ Putting x = tanθ
θ = tan-1x … (i)
Putting x = tanθ in the equation
⇒ 
⇒ 
⇒ ![]()
⇒ ![]()
⇒ ![]()
⇒ ![]()
![]()
Now, we can see that
=![]()
Now Differentiating


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