Derivative Rules

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Last updated 6:07 PM on 5/1/24
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20 Terms

1
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xn

nx^n-1

2
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cf(x)

c*f’(x)

3
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f(x)+g(x)

f’(x)+g’(x)

4
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c

0

5
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x

1

6
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ex

e^x

7
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ax

a^x(lna)

8
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f(x)*g(x)

f(x)g’(x)+g(x)f’(x)

9
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f(x)/g(x)

[g(x)f’(x)-f(x)g’(x)]/g(x)^2

10
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f(g(x))

f’(g(x))*g’(x)

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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secx

secx*tanx

15
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cscx

-cscx*cotx

16
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cotx

-csc²x

17
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ln(x)

1/x

18
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sec-(x)

1/√1-x^2

19
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tan-(x)

1/1+x^2

20
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sec-(x)

1/|x|√x^2-1