Question

What is the derivative of this function `y=sin^-1(3/t^2)`?

Answer 1

See below

Explanation:

`y=arcsin (1/3t^2)`

`siny=1/3t^2`

`cosy dy/dx=2/3t`

`dy/dx=(2t)/(3cosy)=(2t)/(3sqrt(1-1/9t^4))`