AP Calculus AB Flashcards: Exploring Behaviors Of Implicit Relations

Study Exploring Behaviors Of Implicit Relations in AP Calculus AB with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Find $\frac{dy}{dx}$ for $y = \ln(xy)$ implicitly.

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ANSWER

$\frac{dy}{dx} = \frac{1}{x + y}$ . From $\frac{dy}{dx} = \frac{1}{xy}(y + x\frac{dy}{dx})$ , solve for $\frac{dy}{dx}$ .

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What this deck covers

This deck focuses on Exploring Behaviors Of Implicit Relations, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus AB.

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 36Practice questions for this set

Given

\sin(xy)+y=3

, what is

\dfrac{dy}{dx}

at a general point

(x,y)

Choose an answer

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