derivate compuse Flashcards

1
Q

(u^n)’

A

n* u^n-1 * u’

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2
Q

(u^2)’

A

2* u * u’

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3
Q

(1/u)’

A

-1/u^2 * u’

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4
Q

(sqrt u)’

A

1/2sqrt u * u’

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5
Q

[sqrt^n(u)]’

A

1/n * sqrt^n(u^n-1) * u’

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6
Q

(e^u)’

A

e^u * u’

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7
Q

(a^u)’

A

a^u * ln a * u’

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8
Q

(ln u)’

A

1/u * u’

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9
Q

(loga u)’

A

1/u * ln a * u’

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10
Q

(sin u)’

A

cos u * u’

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11
Q

(cos u)’

A

-sin u * u’

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12
Q

(tg u)’

A

1/cos^2 u * u’

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13
Q

(ctg u)’

A

-1/sin^2 u * u’

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14
Q

(arcsin u)’

A

1/sqrt 1-u^2 * u’

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15
Q

(arccos u)’

A

-1/sqrt 1- u^2 * u’

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16
Q

(arctg u)’

A

1/u^2 +1 * u’

17
Q

(arcctg)’

A

-1/u^2 +1 * u’