Differentiate each of the following w.r.t x:
To find: Value of 
The formula used: (i) 
(ii) 
We have, 
⇒ 
⇒ Putting xn = tanθ
θ = tan-1
… (i)
Putting xn = tanθ in the equation
⇒ 
⇒ 
⇒ 
⇒ 
Now, we can see that 
=
Now Differentiating
1
Differentiate each of the following w.r.t x:
To find: Value of
The formula used: (i)
(ii)
We have,
⇒
⇒ Putting xn = tanθ
θ = tan-1 … (i)
Putting xn = tanθ in the equation
⇒
⇒
⇒
⇒
Now, we can see that =
Now Differentiating