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AP Calculus

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Section 1

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average velocity

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Calculus Math

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Mar 1, 2020

Cards (24)

Section 1

(24 cards)

average velocity

Front

displacement/time

Back

Acceleration

Front

second derivative of position

Back

d/dx lnx

Front

1/x * x'

Back

Jerk

Front

third derivative of position

Back

Squeeze Theorem

Front

If f(x) ≤ g(x) ≤ h(x) for all x ̸= a and limx→a f(x) = limx→a h(x) = L, then limx→a g(x) = L

Back

Velocity

Front

first derivative of position

Back

d/dx secx

Front

secx tanx d/dx x

Back

derivative of y

Front

dy/dx

Back

d/dx cosx

Front

-sinx * d/dx x

Back

Intermediate Value Theorem

Front

If f is continuous on [a,b] and k is a number between f(a) and f(b), then there exists at least one number c such that f(c)=k

Back

d/dx e^x

Front

e^x

Back

Total distance traveled

Front

Absolute value of all distances between turning points

Back

d/dx e^u

Front

e^u u'

Back

Quotient Rule

Front

(vu'-uv')/v²

Back

d/dx sinx

Front

cosx * d/dx x

Back

Power Rule

Front

d/dx x^n = nx^(n-1)

Back

Speed

Front

absolute value of velocity

Back

Displacement

Front

endpoint - starting point

Back

d/dx a^x

Front

a^x ln a x'

Back

d/dx cotx

Front

-csc^2x * d/dx x

Back

d/dx tanx

Front

sec^2x * d/dx x

Back

d/dx cscx

Front

-cscx cotx d/dx x

Back

Product Rule

Front

uv' + vu'

Back

Chain Rule

Front

f'(g(x)) * g'(x)

Back