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

To find: Value of

The formula used: (i)

(ii)

We have,

⇒ Putting x = cosθ

θ = cos^-1x … (i)

Putting x = cosθ in the equation

⇒

Now, we can see that =

⇒ θ = cos^-1x

Ans)

12

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

13

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

15

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

16

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