Trancendental Derivatives

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Must-know derivatives for AP calc AB and BC

Last updated 9:24 PM on 9/28/23
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16 Terms

1
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d/dx sinx

cosx

2
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d/dx cosx

-sinx

3
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d/dx tanx

sec²x

4
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d/dx cotx

-csc²x

5
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d/dx secx

secx*tanx

6
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d/dx cscx

-cscx*cotx

7
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d/dx e^x

e^x

8
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d/dx lnx

1/x

9
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d/dx a^x

(a^x)*lna

10
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d/dx log_a(x)

1/(xlna)

11
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d/dx tan^-1(x)

1/(x²+1)

12
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d/dx cot^-1(x)

-1/(x²+1)

13
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d/dx sin^-1(x)

1/sqrt(1-x²)

14
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d/dx cos^-1(x)

-1/sqrt(1-x²)

15
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d/dx sec^-1(x)

1/|x|sqrt(x²-1)

16
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d/dx csc^-1(x)

-1/|x|sqrt(x²-1)