If y is given as a function of a parameter t, and x is given as a function of the same parameter t, then \displaystyle \frac{dy}{dx} can be
found by using:
\displaystyle \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }
= \frac{dy}{dt} \times \frac{dt}{dx}

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## Glossary

### function

A rule that connects one value in one set with one and only one value in another set.

### parameter

a) a constant or variable term in a function that determines the specific form of the function but not its general nature, as a in f(x) = ax, where a determines only the slope of the line described by f(x).

b) one of the independent variables in a set of parametric equations.

b) one of the independent variables in a set of parametric equations.

### union

The union of two sets A and B is the set containing all the elements of A and B.