Product and quotient rules

10 videos
5 skills
You can figure out the derivative of f(x). You're also good for g(x). But what about f(x) times g(x)? This is what the product rule is all about. This tutorial is all about the product rule. It also covers the quotient rule (which really is just a special case of the product rule).

Derivatives of sin x, cos x, tan x, e^x and ln x

VIDEO 3:44 minutes

Special derivatives quiz

PRACTICE PROBLEMS
See if you remember the five derivatives from the previous video.

Special derivatives

PRACTICE PROBLEMS

The product rule for derivatives

VIDEO 2:40 minutes

Product rule for more than two functions

VIDEO 3:34 minutes

Product rule

PRACTICE PROBLEMS

Quotient rule from product rule

VIDEO 5:15 minutes

Quotient rule for derivative of tan x

VIDEO 3:42 minutes

Quotient rule

PRACTICE PROBLEMS

Using the product rule and the chain rule

VIDEO 5:52 minutes

Combining the product and chain rules

PRACTICE PROBLEMS
If you know the product, quotient, and chain rules, try this exercise full of challenging derivatives.

Product rule proof

VIDEO 9:26 minutes
A proof of the product rule

Product rule

VIDEO 8:48 minutes
The product rule. Examples using the Product and Chain rules.

Quotient rule and common derivatives

VIDEO 9:31 minutes
Why the quotient rule is the same thing as the product rule. Introduction to the derivative of e^x, ln x, sin x, cos x, and tan x

Equation of a tangent line

VIDEO 8:07 minutes
Finding the equation of the line tangent to f(x)=xe^x when x=1