AP Calculus BC Flashcards: Connecting Differentiability And Continuity

Study Connecting Differentiability And Continuity 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

Determine if $f(x) = \text{sin}(x)$ is differentiable at $x=0$ .

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ANSWER

Yes, $f(x) = \text{sin}(x)$ is differentiable at $x=0$ . Sine function is smooth and differentiable everywhere.

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AP Calculus BC: Differentiation: Definition and Fundamental Properties

Applying the Power Rule39 cards

You are hereConnecting Differentiability and Continuity34 cards

Derivative Notation44 cards

Derivative Rules of Constant, Sum, Difference38 cards

Derivatives of Reciprocal Trig Functions30 cards

Derivatives of Trigonometry and Logarithmic Functions40 cards

Estimating Derivatives of a Function40 cards

Rate of Change at a Point37 cards

The Product Rule34 cards

The Quotient Rule36 cards

All flashcards

34 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 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 31Practice questions for this set

f(2)=5

and

\lim_{x\to2}f(x)=5

but

f'(2)

does not exist, which statement must be true?

Choose an answer

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