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## Homework Statement

$$y=1+t^2,~~x=\frac{t}{1+t^2}$$

What is dy/dx

## Homework Equations

Parametric equation's derivative:

$$\frac{dy}{dx}=\frac{dy/dt}{dx/dt}$$

## The Attempt at a Solution

$$\frac{dx}{dt}=\frac{1-t^2}{(1+t^2)^2}$$

$$\frac{dy}{dx}=\frac{2t(1+t^2)^2}{1-t^2}$$

I can't translate it back to x