Calc ch 4 derivatives

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Last updated 2:35 PM on 9/30/26
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20 Terms

1
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y=sinx

y’=cosx

2
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y=cosx

y’=-sinx

3
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y=tanx

y’=sec²x

4
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y=cscx

y’=-cscxcotx

5
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y=secx

y’=secxtanx

6
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y=cotx

y’=-csc²x

7
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y=sin-1x

y’=1/(1-x²)1/2

8
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y=cos-1x

y’=-1/(1-x²)1/2

9
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y=tan-1x

y’=1/(1+x²)

10
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y=csc-1x

y’=-1/(x(x²-1)1/2)

11
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y=sec-1x

y’=1/(x(x²-1)1/2)

12
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y=cot-1x

y’=-1/(1+x²)

13
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y=ex

y’=ex

14
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y=ax

y’=axln(a)

15
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y=lnx

y’=1/x

16
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y=logax

y=1/(xlna)

17
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y=emessy

y’=emessy messy’

18
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y=amessy

y’=amessylna (messy’)

19
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y=ln(messy)

y’=1/(messy) (messy’)

20
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y=loga(messy)

y’=1/(messylna) (messy’)