AP Calculus AB Flashcards: Connecting Differentiability And Continuity

Study Connecting Differentiability And Continuity 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

What is the derivative of $f(x) = \text{cos}(x)$ ?

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ANSWER

$-\text{sin}(x)$ . Derivative of cosine is negative sine.

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AP Calculus AB: Differentiation: Definition and Fundamental Properties

Applying the Power Rule39 cards

You are hereConnecting Differentiability and Continuity30 cards

Derivative Notation41 cards

Derivative Rules of Constant, Sum, Difference32 cards

Derivatives of Reciprocal Trig Functions37 cards

Derivatives of Trigonometry and Logarithmic Functions39 cards

Estimating Derivatives of a Function38 cards

Rate of Change at a Point36 cards

The Product Rule38 cards

The Quotient Rule38 cards

All flashcards

30 cards

What this deck covers

This deck focuses on Connecting Differentiability And Continuity, 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 41Practice questions for this set

The graph of

f

has a sharp point at

x=8

and is continuous there; does

f'(8)

exist?

Choose an answer

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