Differentiation Rules

Start with the rules

The Differentiation Flash Cards deck is a useful starting point for reviewing the basic rule and the steps in the chain rule. It also asks how to apply the product and quotient rules. Use the prompts to recall each method before checking the cards.

For a worked introduction to the power rule, turn to the note titled Differentiation Rules. It covers differentiating functions and includes examples based on powers of x.

Connect rules and methods

The Differentiation Rules mind map brings the product and power rules together, including when to use them. Another mind map groups the chain, product and quotient rules with differentiation by definition and exponential functions. Compare the maps with the flashcards to see how the methods relate.

A flashcard deck on differential calculus also includes first principles and rates of change alongside the product, chain and quotient rules. The Differentiation of e^x deck focuses on the exponential function and its derivative.

Use the quiz and maps together

After reviewing the cards and maps, try the quiz on this page. Then return to the relevant resources and check any rules you want to study again. The mind maps offer an overview, while the flashcards give you individual prompts for recall.

Place the topic in the unit

Differentiation Rules is a section of Limits and Introduction to Calculus in Mathematics. The resources here connect rules with ideas such as rates of change and differentiation by definition. There is also a real analysis mind map that includes differentiation rules and the mean value theorem.

Choose a map or flashcard deck and use it to plan your next study session.