Question

Find dy/dx, when x = 2t/(1 + t²) and y = (1 - t²)/(1 + t²)

Answer 1

Given, x = 2t/(1 + t²)

On differentiating x with respect to t using quotient rule,

y = (1 - t²)/(1 + t²)

On differentiating y with respect to t using quotient rule,

On dividing equation (2) by (1)