Derivative Formulas Flashcards

1
Q

d/dx [uv]

A

u(v’) + v(u’)

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2
Q

d/dx [c]

A

0

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3
Q

d/dx [x]

A

1

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4
Q

d/dx [u+v]

A

u’ + v’

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5
Q

d/dx [u/v]

A

[u’(v)-v’(u)]/ v^2

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6
Q

d/dx [u^n]

A

n(u^n-1)•u’

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7
Q

d/dx [|u|]

A

u/ |u| • u’

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8
Q

d/dx [lnu]

A

u’/u

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9
Q

d/dx [e^u]

A

e^u •u’

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10
Q

d/dx [Sin(u)]

A

Cos(u) • u’

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11
Q

d/dx [Cos(u)]

A

-Sin(u) • u’

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12
Q

d/dx [Tan(u)]

A

-Sec^2(u) • u’

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13
Q

d/dx [Csc(u)]

A

-Csc(u)Cot(u) • u’

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14
Q

d/dx [Sec(u)]

A

Sec(u)Tan(u) • u’

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15
Q

d/dx [Cot(u)]

A

-Csc^2(u) • u’

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16
Q

d/dx [arcsin(u)]

A

u’/(1-u^2)^1/2

17
Q

d/dx [arccos(u)]

A

-u’/ (1+u^2)^1/2

18
Q

d/dx [arctan(u)]

A

u’/ 1+u^2

19
Q

d/dx [arccsc(u)]

A

-u’/ |u|(u^2-1)^1/2

20
Q

d/dx [arcsec(u)]

A

u’/ |u|(u^2-1)^1/2

21
Q

d/dx [arccot(u)]

A

-u’/ 1+u^2

22
Q

d/dx [cu]

A

cu’