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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.
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.
Examples CalculusDerivative Examples: 10 Worked ProblemsTen derivatives, ordered so each one adds exactly one new rule to the last.
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.
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.
Application CalculusWhat Derivatives Are Used For in PracticeA derivative answers one question — how fast is this changing right now — and that question turns out to be most of applied mathematics.
Concept AlgebraWhat Is Factoring? Products and Why They MatterFactoring turns a sum into a product. That sounds cosmetic, and it is the reason a whole class of equations becomes easy.