DIFFERENTIATION FLASH CARDS

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28 Terms

1
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d/dx(sinx)

cosx

2
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d/dx(tanx)

sec^2 x

3
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d/dx(cotx)

-cosec^2

4
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d/dx(cosecx)

-cosecxcotx

5
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d/dx(sec^-1x)

1/|x|√x^2-1

6
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d/dx(cosec^-1x)

-1/|x|√x^2-1

7
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sinh(x)

cosh(x)

8
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cosh(x)

sinhx

9
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tanh(x) =

sec^2hx

10
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cothx

-cosech^2x

11
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cosechx

-cosechx cot hx

12
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sechx

-sechx tanhx

13
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d/dx(cosx)

-sinx

14
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d/dx(secx)

secx tanx

15
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d/dx(sin^-1x)

1/√1-x^2

16
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d/dx(cos^-1x)

-1/√(1-x^2)

17
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d/dx(tan^-1x)

1/1+x^2

18
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d/dx(sec^-1x)

-1/1+x2

19
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d/dx(sinh^-1)x

1/(√x²+1)

20
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d/dx(cosh^-1x)

1/(√x²-1)

21
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d/dx(tahnh^-1x)

1/(1-x²) |x|<1

22
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d/dx(coth^-1x)

1/(1-x²) |x|>1

23
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d/dx(sech^-1x)

-1/x√(1-x²)

24
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d/dx(cosech^-1x)

-1|x|√(1+x²)

25
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26
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27
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28
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