derivate Flashcards

1
Q

c’

A

0

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2
Q

x’

A

1

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3
Q

(x^n)’

A

nx^n-1

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4
Q

(sqrtx)

A

1/2sqrtx

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5
Q

(1/x)’

A

-1/x^2

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6
Q

(e^x)’

A

e^x

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7
Q

(a^x)’

A

a^x * ln(a)

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8
Q

(ln x)’

A

1/x

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9
Q

(loga x)’

A

1/x*lna

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10
Q

(arctg x)’

A

1/x^2+1

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11
Q

(arcctg x)’

A

-1/x^2+1

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12
Q

(arcsin x)’

A

1/sqrt 1-x^2

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13
Q

(arccos x)’

A

-1/sqrt 1-x^2

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14
Q

(sin x)’

A

cos x

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15
Q

(cos x)’

A

-sin x

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16
Q

(tg x)’

A

1/cos^2 x

17
Q

(ctg x)’

A

-1/sin^2 x

18
Q

(sqrt x^2 - a^2)’

A

x/sqrt x^2 - a^2

19
Q

(sqrt x^2 + a^2)’

A

x/sqrt x^2 + a^2

20
Q

(sqrt a^2 - x^2)’

A

-x/sqrt a^2 - x^2