calc derivitives

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Last updated 6:27 PM on 4/12/26
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23 Terms

1
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xn

nxn−1

2
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ex

ex

3
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ln(x)
1/x
4
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ax

ln(a)⋅ax
5
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loga​(x)
1/(x⋅ln(a))
6
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cos(x)
−sin(x)
7
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sin(x)
cos(x)
8
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tan(x)

sec2(x)

9
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sec(x)
sec(x)tan(x)
10
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cot(x)

−csc2(x)

11
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csc(x)
−csc(x)cot(x)
12
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sin−1(x)

1/sqrt(1−x2​)

13
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cos−1(x)

-1/sqrt(1−x2​)

14
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tan−1(x)

1/(1+x2)

15
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cot−1(x)

−1/(1+x2)

16
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sec−1(x)

1/(∣x∣sqrt(x2−1​))

17
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csc−1(x)

-1/(∣x∣sqrt(x2−1​))

18
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(u+v)′
u′+v′
19
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(cu)′
c⋅u′
20
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(uv)′
u′v+uv′
21
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(u/v)′
(u′v−uv′)/v2
22
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f(g(x))′
f′(g(x))⋅g′(x)
23
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(f−1)′(x)

1/(f′(f−1(x)))