# Derivative of Implicit Functions

__Implicit Function__**:**

If the independent and the dependent variables are mixed up in such a way that the dependent variable cannot be expressed in terms of independent variable, then such a function is called an implicit function.

For example, is an implicit function, because the dependent variable cannot be expressed in terms of the independent variable .

__Example__**:** Find , if the given implicit function is

We have the given implicit function

Differentiate with respect to , we have

Where any constant and derivative of constant function is is zero.