Derivative Rules

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Last updated 11:02 PM on 10/3/26
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20 Terms

1
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ex

ex

2
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lnx

1/x

3
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logax

1/xlna

4
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ax

axlna

5
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sin-1x

1/√(1-x2)

6
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tan-1x

1/(1+x2)

7
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sec-1x

1/|x|√(x2-1)

8
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cos-1x

-1/√(1-x2)

9
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cot-1x

-1/(1+x2)

10
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csc-1x

-1/√(x2-1)

11
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sinx

cosx

12
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cosx

-sinx

13
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tanx

sec2x

14
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cotx

-csc2x

15
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secx

secxtanx

16
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cscx

-cscxcotx

17
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Power rule xn

nxn-1

18
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Product rule g(x)f(x)

g’(x)f(x)+f’(x)g(x)

19
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Quotient rule f(x)/g(x)

f’(x)g(x)-g’(x)f(x)/g(x)2

20
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Chain rule f(g(x))

f’(g(x))g’(x)