Defining and Differentiating Parametric Equations Practice Test

A parametric path is given by $x(t)=e^t$ and $y(t)=t e^t$; what is $\frac{dy}{dx}$ in terms of $t$?

A curve is $x(t)=t^2+\frac{1}{2}t$ and $y(t)=t^2-\frac{1}{2}t$; find $\frac{dy}{dx}$.