AP Calculus BC Flashcards: Rate Of Change At A Point

Study Rate Of Change At A Point 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

What is the derivative of $f(x) = x^3$ at $x = 2$ ?

Tap card or press Space to flip

ANSWER

$12$ . Using power rule: $f'(x) = 3x^2$ , so $f'(2) = 12$ .

1 / 37

AP Calculus BC: Differentiation: Definition and Fundamental Properties

Applying the Power Rule39 cards

Connecting 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

You are hereRate of Change at a Point37 cards

The Product Rule34 cards

The Quotient Rule36 cards

All flashcards

37 cards

What this deck covers

This deck focuses on Rate Of Change At A Point, 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 50Practice questions for this set

A graph shows points

(1,3)

and

(5,11)

y=f(x)

; find average rate of change on

[1,5]

Choose an answer

Keep your progress across every deck

Free account · cards you mark are saved to it