# Examples of Differentiation of Implicit Functions

Example: Find $\frac{{dy}}{{dx}}$, if the given implicit function is

We have the given implicit function

Differentiating with respect to $x$, we have

Where $xy$ is the product of two variables and using the product of the derivative, we have

Example: Find the derivative of the implicit function

We have the given implicit function

Differentiating with respect to $x$, we have

Where $xy$ is the product of two variables and using the product of the derivative, we have