### 1 video in "Implicit Differentiation"

## Implicit Differentiation

Implicit Differentiation

3654 views, 2 ratings - 00:17:48

Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.

(
download video
)

Implicit differentiation. The power rule for rational powers.

- Implicit Differentiation; Rational Powers - Practice with Implicit Differentiation; Rational Powers.

- What is implicit differentiation?
- How do you take the derivative of x to a fractional exponent?
- How do you take the derivative of the equation for an elipse?
- How do you find the points on an ellipse where the tangent line is horizontal or vertical?
- What is the power rule?

This lesson is a great introduction to implicit differentiation. Several great, complete examples are used, including the equation for an ellipse, and the equation x^3 * y^2 = x * y^3 + 6. Also, in a related topic, you learn how to find dy/dx when y = x^(1/n). You will learn how the power rule works for rational exponents. Some of the examples get pretty long and involved.