Derivatives Flashcards

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1
Q

sin x

A

cos x

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2
Q

cos x

A

-sin x

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3
Q

tan x

A

sec^2 x

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4
Q

csc x

A

-csc x cot x

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5
Q

sec x

A

sec x tan x

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6
Q

cot x

A

-csc^2 x

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7
Q

arcsin u

A

u’/(sqrt(1-u^2))

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8
Q

arccos u

A

-u’/(sqrt(1-u^2))

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9
Q

arctan u

A

u’/1+u^2

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10
Q

arccsc u

A

-u1/(lul)(sqrt(u^2-1))

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11
Q

arcsec u

A

u1/(lul)(sqrt(u^2-1))

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12
Q

arccot u

A

-u’/(1+u^2)

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13
Q

sinh x

A

cosh x

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14
Q

cosh x

A

-sinh x

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15
Q

tanh x

A

sech^2 x

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16
Q

csch x

A

-csch x coth x

17
Q

sech x

A

sech x tanh x

18
Q

coth x

A

-csch^2 x

19
Q

arcsinh u

A

u’/(sqrt(u^2+1))

20
Q

arccosh u

A

-u’/(sqrt(u^2+1))

21
Q

arctanh u

A

u’/(1-u^2)

22
Q

arccsch u

A

-u’/(lul sqrt(1+u^2))

23
Q

arcsech u

A

u’/(lul sqrt(1+u^2))

24
Q

arcoth u

A

-u’/(1-u^2)