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AP Calculus General Review

AP Calculus General Review

memorize.aimemorize.ai (lvl 286)
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27 cards
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Section 1

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d/dx sec x

Front

1 / 27

CalculusMath
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Last updated

6 years ago

Date created

Mar 1, 2020

Cards (27)

Section 1

(27 cards)

d/dx sec x

Front

sec x tan x

Back

d/dx csc x

Front

-csc x cot x

Back

Intermediate Value Theorem

Front

Back

d/dx f[ g(x) ]

Front

f'[ g(x) ] * g'(x)

Back

d/dx [ f(x) * g(x) ]

Front

f(x)g'(x) + g(x)f'(x)

Back

d/dx cot x

Front

-csc^2(x)

Back

Second Fundamental Theorem of Calculus

Front

Back

POSSIBLE Points of Inflection

Front

Occur where f''(x) = 0 or f''(x) DNE (denominator = 0)

Back

d/dx ln x

Front

1/x

Back

Fundamental Theorem of Calculus

Front

Back

Mean Value Theorem

Front

Back

Continuity

Front

Limit from the left = Limit from the right = Function value

Back

d/dx sin x

Front

cos x

Back

Extreme Value Theorem

Front

Absolute/Global extrema on a closed interval must occur either at a critical number or at endpoints

Back

Points of Inflection

Front

Occur where f''(x) has a sign change

Back

Relative/Local Maximum (Second Derivative Test)

Front

Occurs when f''(critical number) < 0

Back

Critical Numbers

Front

Occur where f'(x) = 0 or f'(x) DNE (denominator = 0)

Back

d/dx [ f(x) / g(x) ]

Front

[ g(x) f'(x) - f(x) g'(x) ] / [ g(x) ]^2

Back

Average Value of a Function

Front

Back

Relative/Local Minimum (Second Derivative Test)

Front

Occurs when f''(critical number) > 0

Back

d/dx cos x

Front

-sin x

Back

L'Hopital's Rule

Front

Back

d/dx e^x

Front

e^x

Back

Local Linear Approximation

Front

y - y1 = m ( x - x1) (Equation of a Tangent Line)

Back

Relative/Local Maximum (First Derivative Test)

Front

Occurs where f' changes from positive to negative

Back

Relative/Local Minimum (First Derivative Test)

Front

Occurs where f' changes from negative to positive

Back

d/dx tan x

Front

sec^2(x)

Back