# What is the implicit derivative of #5=xy^3-3xy#?

##### 1 Answer

Jan 2, 2016

#### Explanation:

Given:

We will find the derivative with respect to

**Product rule**

Gather like terms

#dy/dx(3x -3xy^2) = y^3 -3y#

#dy/dx = (y^3-3y)/(3x-3xy^2)#

#dy/dx = (y(y^2-3))/(3x(1-y^2))#