AP AB Derivatives and Antiderivatives To Know

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Last updated 10:15 PM on 9/22/26
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16 Terms

1
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d/dx cos(x)

- sin(x)


2
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d/dx sin(x)

cos(x)


3
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d/dx sec(x)

sec(x)tan(x)

4
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d/dx tan(x)

sec²x

5
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d/dx csc(x)

- csc(x)cot(x)


6
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d/dx cot(x)

- csc²(x)


7
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∫ sin(x) dx

- cos(x) + C


8
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∫ cos(x) dx

sin(x) + C

9
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∫ sec²(x) dx

tan(x) + C

10
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∫ csc²(x) dx

- cot(x) + C


11
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∫ csc(x)cot(x) dx

- csc(x) + C


12
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∫ sec(x)tan(x) dx

sec(x) + C

13
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d/du (aᵘ)

aᵘ * ln a * u’

14
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d/du (eᵘ)

eᵘ * u’

15
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d/du logₐu

1/ u ln a * u’

16
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d/du (ln u)

1/u * u’