Rules 1-19 & 21 Flashcards

1
Q

d/dx [cu]

A

cu’

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2
Q

d/dx[u+-v]

A

u’+- v’

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3
Q

d/dx [uv]

A

uv’+vu’

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4
Q

d/dx [u/v]

A

(vu’-uv’)/v^2

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5
Q

d/dx[c]

A

0

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6
Q

d/dx [u^n]

A

nu^n-1(u’)

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7
Q

d/dx [x]

A

1

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8
Q

d/dx [|u|]

A

(u/|u|)u’

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9
Q

d/dx [lnu]

A

u’/u

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10
Q

d/dx [e^u]

A

e^u(u’)

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11
Q

d/dx [logau]

A

u’/(lna)u

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12
Q

d/dx [a^u]

A

(lna)a^u (u’)

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13
Q

d/dx [sinx]

A

(cosu)u’

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14
Q

d/dx [cosx]

A

-sinx (x’)

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15
Q

d/dx [tanu]

A

(sec^2u)(u’)

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16
Q

d/dx [cotu]

A

(-csc^2u)u’

17
Q

d/dx [secu]

A

(secutanu)u’

18
Q

d/dx [cscu]

A

-(cscucotu)u’

19
Q

d/dx [arcsinu]

A

u’/sqrt (1-u^2)

20
Q

d/dx [arccosu]

A

-u’/sqrt (1-u^2)

21
Q

d/dx [arctanu]

A

u’/1+u^2