Find dy/dx, when x = 3at/(1 +at^2), y = 3at^2/(1 + t^2)

Question

Find dy/dx, when x = \(\cfrac{3at}{(1+t^2)}\), y = \(\cfrac{3at^2}{(1+t^2)}\)

3at/(1 +at²), 3at²/(1 + t²)

Answer 1

Theorem: y and x are given in a different variable that is t. We can find dy/dx by finding dy/dt and dx/dt and then dividing them to get the required thing.

Dividing (1) and (2), we get