Applying Implicit Differentiation
More Lessons for Calculus
A series of calculus lectures.
How to Do Implicit Differentiation
Steps to doing implicit differentiation to find dy/dx:
1) Take the derivative of both sides, multiplying by dy/dx
2) Get dy/dx alone on one side
Use implicit differentiation to find the equation of the tangent line at a point
Learn how to use implicit differentiation to calculate the equation of the tangent to the curve at a specific point. Use implicit differentiation to find the first derivative of y, or y', or y prime, then plug the given point into the first derivative to get the slope of the tangent line, m. Plug the slope and the given point into the point-slope formula for the equation of the line, and simplify to get the equation of the tangent line to the curve at that point.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.