Differentiate each of the following w.r.t x:
To find: Value of
The formula used: (i)
(ii)
We have,
⇒ Putting x = sinθ
θ = sin-1x … (i)
Putting x = sinθ in the equation
⇒
⇒
⇒
⇒ 2θ
⇒ 2sin-1x
Now, we can see that = 2sin-1x
Now Differentiating
Ans)