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AP Calculus BC Flashcards: Implicit Differentiation

Study Implicit Differentiation in AP Calculus BC with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Find dydx\frac{dy}{dx} for xy=1\frac{x}{y} = 1.

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ANSWER

dydx=yx\frac{dy}{dx} = \frac{y}{x}. From xy=1\frac{x}{y} = 1, we get x=yx = y, so slopes are equal.

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AP Calculus BC: Differentiation: Composite, Implicit, and Inverse Functions

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What this deck covers

This deck focuses on Implicit Differentiation, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus BC.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 15Practice questions for this set
If ln⁡(x+y)=xy\ln(x+y)=xy, what is dydx\dfrac{dy}{dx} at a general point (x,y)(x,y) on the curve?
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