Derivatives of Functions in Parametric Forms

The video tutorial explains derivatives of functions in parametric forms, introducing the concept of parametric functions where a third variable, the parameter, is used to express the relationship between two variables. The chain rule is used to find derivatives of these functions. The tutorial includes examples with trigonometric and quadratic functions, demonstrating how to calculate dy/dx by differentiating with respect to the parameter and applying the chain rule.

In the example given, what are the expressions for x and y in terms of the parameter theta?

What is the final expression for dy by dx in the last example provided?