Derivative Formulas Flashcards

1
Q

ln(x)

A

1/x

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2
Q

LOGa(X)

A

1/(x*ln(a))

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3
Q

e^x

A

e^x

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4
Q

a^x

A

ln(a)*a^x

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5
Q

X^2

A

2x

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6
Q

Sqrt(x)

A

1/2(x)^(-1/2)

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7
Q

sin(x)

A

cos(x)

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8
Q

cos(x)

A

-sin(x)

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9
Q

tan(x)

A

sec^2(x)

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10
Q

csc(x)

A

-cot(x)csc(x)

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11
Q

sec(x)

A

tan(x)sec(x)

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12
Q

cotan(x)

A

-csc^2(x)

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13
Q

arcsin(x)

A

1/(sqrt(1-x^2)) where (-1

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14
Q

arccos(x)

A

-(1/(sqrt(1-x^2))

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15
Q

arcsec(x)

A

1/x*sqrt(x^2 - 1)

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16
Q

arccsc(x)

A

-(1/(x*sqrt(x^2 - 1)

17
Q

arctan(x)

A

1/(1+x^2)

18
Q

arccot(x)

A

-(1/(1+x^2))

19
Q

E^u

A

E^u * u’

20
Q

LOGaU

A

U’ / u*lna

21
Q

ln(u)

A

U’/U

22
Q

LOGaX

A

Lna/lnx