Midterm Flashcards

(24 cards)

1
Q

e^1

A

e

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2
Q

e^0

A

1

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3
Q

e^x+y

A

e^x + e^y

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4
Q

(e^x)^y

A

e^xy

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5
Q

e^-1

A

1/e^x

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6
Q

e^x-y

A

e^x / e^y

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7
Q

ln(1)

A

0

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8
Q

ln(xy)

A

ln(x) + ln(y)

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9
Q

ln(x^y)

A

yln(x)

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10
Q

ln(1/x)

A

-ln(x)

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11
Q

ln(y/x)

A

ln(y) - ln(x)

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12
Q

y = ln(x) inverse…

A

e^y = x

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13
Q

e^kx

A

ke^kx

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14
Q

e^x

A

e^x

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15
Q

lnx

A

1/x

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16
Q

sinx

17
Q

cosx

18
Q

tanx

19
Q

cotx

20
Q

Product rule:

A

f x g* + g x f*

21
Q

Quotient rule:

A

g x f* - f x g* / g^2

22
Q

Sum and difference rule:

23
Q

Constant multiple rule:

24
Q

Chain rule:

A

f(g(x)) x g(x)