Derivatives

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Calc derivatives for AP Calculus AB

Last updated 12:36 AM on 1/22/26
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27 Terms

1
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Sin x

Cos x

2
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Cos x

-Sin x

3
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Tan x

Sec2 x

4
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Cot x

-Csc2 x

5
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Sec x

Sec x Tan x

6
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Csc x

- (Csc x Cot x)

7
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ex

ex

8
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ax

ax ln a

9
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ln x

1 / x

10
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logax

1 / x ln a

11
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sin-1x

1 / √1-x2

12
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cos-1x

- (1 / √1-x2)

13
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tan-1x

1 / 1 + x2

14
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cot-1x

-(1 / 1 + x2)

15
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sec-1x

1 / |x| √x2-1

16
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csc-1x

- 1 / |x| √x2-1

17
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sin² + cos²

1

18
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sec² - tan²

1

19
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csc² - cot²

1

20
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sin2x

2 sinx cosx

21
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cos²x - sin²x

cos2x

22
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2 cosx² - 1

cos2x

23
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1 - 2sin²x

cos2x

24
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tan2x

2tanx / 1 - tan²x

25
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cone volume

1/3πr²h

26
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Cylinder volume

πr²h

27
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Sphere Volume

4/3πr³