Derivative Formulas Flashcards

1
Q

d/dx [cu]

A

cu’

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2
Q

d/dx [u/v]

A

(vu’-uv’)/(v^2)

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3
Q

d/dx [x]

A

1

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4
Q

d/dx [e^u]

A

e^u x u’

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5
Q

d/dx [sin u]

A

(cos u) u’

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6
Q

d/dx [cot u]

A

-(csc^2u)u’

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7
Q

d/dx [arcsin u]

A

(u’)/(√1-u^2)

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8
Q

d/dx [arccot u]

A

(-u’)/(1+u^2)

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9
Q

d/dx [u+/-v]

A

u’ +/- v’

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10
Q

d/dx[c]

A

0

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11
Q

d/dx[|u|]

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12
Q

d/dx [log a u]

A

(u’)/((ln a)(u))

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13
Q

d/dx [cos u]

A

-(sin 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[arccos u]

A

(-u’)/(√1-u^2)

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16
Q

d/dx [arcsec u]

A

(u’)/(|u|√u^2-1)

17
Q

d/dx[uv]

A

uv’+vu’

18
Q

d/dx[u^n]

A

nu^(n-1)u’

19
Q

d/dx[ln u]

A

u’/u

20
Q

d/dx[tan u]

A

(sec^2u)u’

21
Q

d/dx [csc u]

A

-(csc u cot u)u’

22
Q

d/dx [arctan u]

A

(u’)/(1+u^2)

23
Q

d/x[arccsc u]

A

(-u’)/(|u|√u^2-1)

24
Q

d/dx[a^x]

A

(a^x)(ln a)