Question

How do you differentiate the following parametric equation: `x(t)=t-te^t , y(t)=e^t`?

Answer 1

`dy/dx=e^t/(1-e^t-te^t)`

Explanation:

Start dy differentiating x and y with respect to t
`dx/dt=1-(e^t+te^t)= 1-e^t-te^t`
and `dy/dt=e^t`
So `dy/dx=(dy/dt)/(dx/dt)=e^t/(1-e^t-te^t)`