Derivatives 1-18 Flashcards

0
Q

d/dx[u+-v]

A

u’ +or- v’

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1
Q

d/dx[cu]

A

cu’

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2
Q

d/dx[uv]

A

uv’ + vu’

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3
Q

d/dx[u/v]

A

vu’ - uv’/v^2

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4
Q

d/dx[c]

A

0

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5
Q

d/dx[u^n]

A

nu^n-1(u’)

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6
Q

d/dx[x]

A

1

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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[logau]

A

u’/(lna)u

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11
Q

d/dx[a^u]

A

lna(a^u)(u’)

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12
Q

d/dx[sinu]

A

cosu(u’)

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13
Q

d/dx[cosu]

A

-sinu(u’)

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14
Q

d/dx[tanu]

A

sec^2u(u’)

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15
Q

d/dx[cotu]

A

-csc^2u(u’)

16
Q

d/dx[secu]

A

secutanu(u’)

17
Q

d/dx[cscu]

A

-cscucotu(u’)