Derivative rules + log properties (copy)

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20 Terms

1
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if f(x) = x^n

f’(x) = n*x^n-1

2
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d/dx e^x

e^x

3
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d/dx lnx

1/x

4
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d/dx logbx

1/x*lnb

5
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d/dx sinx

cosx

6
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d/dx cosx

-sinx

7
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d/dx tanx

sec²x

8
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d/dx cotx

-csc²x

9
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d/dx secx

tanx * secx

10
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d/dx cscx

-cscx * cotx

11
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loga(M*N)

logaM + logaN

12
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loga(M/N)

logaM/logaN

13
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logaM^n

n*logaM

14
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d/dx arcsinx

1/√1-x²

15
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d/dx arccos

-1/√1-x²

16
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d/dx arcsecx

1/|x|√x²-1

17
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d/dx arccscx

-1/|x| √x²-1

18
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d/dx arctanx

1/x²+1

19
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d/dx arccotx

-1/x²+1

20
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F-1(X)’

1/f’(f-1(x))