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Differentiation: standard results flashcards

14 cards drawn from 7 lessons: 9 standard results, 1 definition, 2 recall prompts, 1 check-yourself question and 1 spot-the-error card. The derivatives the formulae booklet does not hand you. Rate each answer to set a shorter or longer interval before the card is due again.

Years 12-13 · all 271 maths cards

How the five kinds differ

Standard results ask for a formula or value that may need to be recalled. Definitions ask for a mathematical term to be stated precisely. Recall prompts ask for a rule, condition or method. Check yourself cards contain a short question and answer. Spot the error cards ask you to correct an inaccurate claim.

Every card in this deck

Click any card to try it in the player above; the card itself links the lesson that teaches it.

• Power ruleResult
• ExponentialResult
• Natural log (x > 0)Result
• Sine (x in radians)Result
• Cosine (x in radians)Result
• General exponentialResult
• Chain ruleResult
• Product ruleResult
• State how to connect two rates of changeRecall
• State how to classify a stationary pointRecall
• differentiation from first principlesDefine
• Differentiate y = 3 ln x − cos 2x.Check
• Implicit and parametricResult
• The derivative of cos x is sin x.Spot the error

The lessons these cards come from

• Differentiating powers of x
• Differentiating trig, exponentials and logs
• Implicit and parametric differentiation
• Rates of change and building differential equations
• Tangents, turning points and curve behaviour
• The derivative from first principles
• The product, quotient and chain rules

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