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AP Calculus Review

AP Calculus students · Hard · 15-20 min

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About This Board

This board helps players review Test Prep · AP Calculus (high school math exam) through a Jeopardy-style game format on Kleveroo. It includes categories such as Limits, Derivatives, Applications, Integrals, Series. It is useful for classroom review, team trivia, family game night, test prep, and group play.

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Questions in this game

A peek at what's on the board — 5 categories and one sample clue from each. Answers stay hidden until you open them, so the game still works.

  • Limits

    What notation describes the value f(x) approaches as x approaches a?

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    Limit

    +4 more clues in this category

  • Derivatives

    What is the derivative of x^2?

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    2x

    +4 more clues in this category

  • Applications

    What kind of rate compares two changing quantities?

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    Related rate

    +4 more clues in this category

  • Integrals

    What symbol represents integration?

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    Integral sign

    +4 more clues in this category

  • Series

    What is a sum of terms in a sequence called?

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    Series

    +4 more clues in this category

Board content

Limits

$100 — What notation describes the value f(x) approaches as x approaches a?
Limit
$200 — What limit form appears as 0 divided by 0?
Indeterminate form
$300 — What rule can evaluate certain indeterminate limits using derivatives?
L'Hopital's rule
$400 — What condition requires left and right limits to match?
Two-sided limit
$500 — What theorem guarantees a root on an interval if signs change?
Intermediate Value Theorem

Derivatives

$100 — What is the derivative of x^2?
2x
$200 — What rule differentiates a product of two functions?
Product rule
$300 — What rule differentiates a composition of functions?
Chain rule
$400 — What does the derivative represent on a position graph?
Velocity
$500 — What derivative test uses sign changes in f prime to identify extrema?
First derivative test

Applications

$100 — What kind of rate compares two changing quantities?
Related rate
$200 — What problem type finds maximum or minimum values under constraints?
Optimization
$300 — What does f prime greater than zero mean?
Increasing
$400 — What does f double prime less than zero indicate?
Concave down
$500 — What is a point where concavity changes called?
Inflection point

Integrals

$100 — What symbol represents integration?
Integral sign
$200 — What does a definite integral calculate geometrically?
Area under a curve
$300 — What theorem connects derivatives and integrals?
Fundamental Theorem of Calculus
$400 — What method reverses the chain rule in integration?
U-substitution
$500 — What integral gives accumulated change over time?
Definite integral

Series

$100 — What is a sum of terms in a sequence called?
Series
$200 — What series has constant ratio between terms?
Geometric series
$300 — What test compares a series to a known benchmark series?
Comparison test
$400 — What series represents functions with derivatives at a point?
Taylor series
$500 — What is the interval of x-values where a power series converges?
Interval of convergence

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