Question

How do you differentiate the following parametric equation: `x(t)=t/(t-4), y(t)=1+t`?

Answer 1

`dy/dx = dy/dt * dt/dx`

`dy/dx = dy/dt / dx/dt`

`dx/dt = (t-4 - t)/(t-4)^2 = -4/(t-4)^2`

`dy/dt=1`

`dy/dx = 1/(-4/(t-4)^2) = -(t-4)^2/4`