We show, step-by-step, how to find the derivative of y with respect to x using implicit differentiation.

# Author: Dr. Justin Albert

Dr. Albert received his Ph.D. in mathematics from Marquette University. He is currently an instructor at Virginia Commonwealth University. He has a passion for teaching and learning not only mathematics, but all subjects. As evidence, he also has a bachelors degree in music and has spent time giving guitar lessons.

## Derivative Examples

We show, step-by-step, how to find the derivative of four different examples of functions.

## Derivative Using the Limit Definition

We show, step-by-step, how to find the derivative of a function using the limit definition of derivative.

## Finding Asymptotes

We show, step-by-step, how to find vertical and horizontal asymptotes of a given function.

## Algebraic Limits

We show, step-by-step, how to find limits of functions algebraically for rational functions and functions with fractions and square roots.