Differentiate the following functions with respect to x:

Now

Using cos2θ = 1 – 2sin²θ

y = sin^–1(sinθ)

Considering the limits,

0 < x < 1

0 < cos2θ < 1

Now, y = sin^–1(sinθ)

y = θ

Differentiating w.r.t x, we get

1

Differentiate the following functions with respect to x:

2

Differentiate the following functions with respect to x:

4

Differentiate the following functions with respect to x:

5

Differentiate the following functions with respect to x: