derivatives of transcendental function Flashcards

1
Q

sinx

A

cosx

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2
Q

cosx

A

-sinx

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3
Q

tanx

A

sec²x

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4
Q

cotx

A

-csc²x

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5
Q

secx

A

secxtanx

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6
Q

cscx

A

-cscxcotx

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7
Q

arcsinx

A

1/√1-x²

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8
Q

arccosx

A

-1/√1-x²

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9
Q

arctanx

A

1/1+x²

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10
Q

arccotx

A

-1/1+x²

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11
Q

arcsecx

A

1/|x|√x²-1

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12
Q

arccscx

A

-1/|x|√x²-1

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13
Q

sinhx

A

coshx

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14
Q

coshx

A

sinhx

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15
Q

tanhx

A

sech²x

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16
Q

cothx

A

-csch²x

17
Q

sechx

A

-sechxtanhx

18
Q

cschx

A

-cschxcothx

19
Q

arcsinhx

A

1/√x²+1

20
Q

arccoshx

A

1/√x²-1

21
Q

arctanhx

A

1/1-x²

22
Q

arccothx

A

1/1-x²

23
Q

arcsechx

A

-1/x√1-x²

24
Q

arccschx

A

-1/|x|√1+x²

25
Q

e^x

A

e^x

26
Q

a^x

A

a^x lna

27
Q

lnx

A

1/x