The Product Rule


	If and are both differentiable at , then the derivative of their product at is given by the product rule shown above. On the graph, is blue, is red, is purple, and the derivative of is thick purple.


	Contributed by: Chris Boucher
	Show Initialization Code

Product Rule (Wolfram MathWorld)

"The Product Rule" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheProductRule/

Contributed by: Chris Boucher

Free Download: Mathematica Player--Runs all Demonstrations & more

Calculus
College Mathematics
Derivatives
High School Calculus and Analytic Geometry
High School Mathematics

Browse all topics

The Quotient Rule
The Fundamental Theorem of Calculus
The Schwarzian Derivative of Iterated Functions
Graphing Derivatives
Derivatives: A Look at Graphs
Related Rates Clock
Boat and Rope Related Rates
A Fifth-Degree Polynomial and Its Derivatives
Approximating the Derivative by the Symmetric Difference Quotient
Tangent Planes on a 3D Graph

Email
Link to URL
Embed
Bookmark

Make a new version of this Demonstration
Upload a new Demonstration

Source page:

Name (optional)

Occupation (optional)

Organization (optional)

I use Mathematica:

often

occasionally

never

Country (optional)
Remember me

Note: Please do not include anything you consider confidential or proprietary. We will keep your information private. We will not give it to any third party.
Privacy Policy »