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Knowledge base
More explainers from the knowledge base. Each one names what you need to know first, works through the method, and says where it usually goes wrong.
Distinction CalculusChain Rule vs Product Rule vs Quotient RuleThree rules, one question: is the expression a composition, a product, or a quotient? The shape decides, not the difficulty.
Mistakes Calculus6 Common Differentiation MistakesFive of the six are caught by evaluating your answer at one value of x and comparing it with a difference quotient.
Examples CalculusDerivative Examples: 10 Worked ProblemsTen derivatives, ordered so each one adds exactly one new rule to the last.
Formula CalculusDerivative Rules: The Complete TableTwo short tables cover almost everything a first calculus course asks for. The second one is worth memorising; the first is worth understanding.
Method CalculusHow to Differentiate: Step by StepDifferentiation is a decision procedure. Look at the shape of the expression, and the shape tells you which rule to reach for.
Method Basic MathHow to Calculate Percentages: All Three QuestionsThree questions get called the same thing. Knowing which one you are being asked is most of the difficulty.