Q6 of 354 Page 12

Differentiate the following functions with respect to x:

Let x = a tanθ

Now

Using 1 + tan²θ = sec²θ

y = sin^–1(sinθ)

y = θ

Differentiating w.r.t x, we get

Differentiate the following functions with respect to x:

sin^–1 (2x² – 1), 0 < x < 1

Differentiate the following functions with respect to x:

sin^–1 (1 – 2x²), 0 < x < 1