Differentiation of Function in Parametric Form - Practice Questions & MCQ

Differentiation of Function in Parametric Form

Sometimes, x and y are given as functions of a single variable, i.e., x = g(t) and y = f(t) are two functions and t is a variable. In such cases x and y are called parametric functions or parametric equations and t is called the parameter. 

To find   in such cases, first find the relationship between x and y by eliminating the parameter t and then differentiate with respect to t. 

But sometimes it is not possible to eliminate t, then in that case use

For example 

If x = a(1 - cos Ө) and y = a(Ө - sin Ө), then dy/dx is

Solution.