My gf's derivative rules Flashcards

1
Q

(f + g)

A

f ‘ + g ‘

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2
Q

(fg) ‘

A

(f ‘ * g) + (g ‘ * f)

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3
Q

(f / g) ‘

A

[(f ‘ * g) - (g ‘ * f)] / g^2

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4
Q

f(g(x)) ‘

A

f ‘(g(x)) * g ‘(x)

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5
Q

00 / #

A

00

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6
Q

/ 00

A

0

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7
Q

e^00

A

00

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8
Q

00^x

A

00

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9
Q

(x) ‘

A

1

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10
Q

sin(0)

A

0

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11
Q

cos(o)

A

1

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12
Q

ln(1)

A

0

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13
Q

e^0

A

1

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14
Q

x^0

A

1

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15
Q

(sinx) ‘

A

cosx

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16
Q

(cosx) ‘

A
  • sinx
17
Q

(constant) ‘

A

0

18
Q

(ax) ‘

A

a

19
Q

(x^a) ‘

A

ax^a-1

20
Q

(e^u) ‘

A

e^u * u ‘

21
Q

(a^u) ‘

A

a^u * u ‘ * ln(a)

22
Q

(ln(x)) ‘

A

1 / x

23
Q

(ln(u)) ‘

A

u ‘ / u

24
Q

(log(au)) ‘

A

u ‘ / u*ln(a)

25
Q

(ax^4)

A

u * ax^u-1