If then is equal to

We have,

⇒ y² = sinx + y

Differentiating both sides w.r.t x, we get

⇒

Let f(x) = |sinx|. Then

If then is equal to

The derivative of cos^-1(2x² – 1) w.r.t. cos^-1 x is

If x = t², y = t³, then is