Question

How do you differentiate the following parametric equation: `x(t)=-3e^t-2t, y(t)= -5t^2-e^(4t)`?

Answer 1

`dy/dx=(10t+4 e^(4t))/(3 e^t +2)`

Explanation:

Solve `dy/dt` and `dx/dt`

after which divide `dy/dt` by `dx/dt` to obtain `dy/dx`

`dy/dx=(dy/dt)/(dx/dt)`