Derivatives Flashcards

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

[sinh(x)]’

A

cosh(x)

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5
Q

[cosh(x)]’

A

sinh(x)

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6
Q

[tanh(x)]’

A

sech^2(x)

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7
Q

[sech(x)]’

A

-sech(x)tanh(x)

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8
Q

[coth(x)]’

A

-csch^2(x)

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9
Q

[csch(x)]’

A

-csch(x)coth(x)

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10
Q

[arcsinh(x)]’

A

1/√(1+x^2)

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11
Q

[arccosh(x)]’

A

1/√(x^2 - 1)

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12
Q

[arctanh(x)]’

A

1/(1-x^2)

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13
Q

[arccoth(x)]’

A

1/(1-x^2)

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14
Q

[arcsech]’

A

-1/x√(1 - x^2)

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15
Q

[arccsch(x)]’

A

-1/lxl√(x^2 +1)

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16
Q

[arccos(x)]’

A

-1/√(1-x^2)

17
Q

[arcsin(x)]’

A

1/√(1- x^2)

18
Q

[arctan(x)]’

A

1/(1+x^2)

19
Q

[sec(x)]’

A

sec(x)tan(x)

20
Q

[cot(x)]’

A

-csc^2(x)

21
Q

[csc(x)]’

A

-csc(x)cot(x)

22
Q

[arccot(x)]’

A

-1/(1+x^2)

23
Q

[arcsec(x)]’

A

1/lxl√(x^2 - 1)

24
Q

[arccsc(x)]’

A

-1/lxl√(x^2 - 1)