The Product Rule

The product rule helps find the derivative of two functions multiplied together.

How the Idea Works

A product means two things multiplied. The product rule says you must account for each factor changing.

Why It Helps

It is useful when both parts of a multiplication depend on x. The rule keeps mathematicians from making a common shortcut mistake.

Fun Facts

  • A product means two things multiplied.
  • The product rule says you must account for each factor changing.
  • It is useful when both parts of a multiplication depend on x.
  • The rule keeps mathematicians from making a common shortcut mistake.

Did You Know?

The Product Rule may sound advanced, but it is built from smaller ideas like patterns, slopes, totals, and careful reasoning.