New Math Test Flashcards

1
Q

eᴬ * eᴮ

A

eᴬ⁺ᴮ

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2
Q

(eᴬ)ᴮ

A

eᴬᴮ

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3
Q

e⁰

A

1

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4
Q

what is the limit as x approaches infinite of eˣ

A

postive infinitive

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5
Q

what is the limit as x approaches negative infinite eˣ

A

0

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6
Q

ln (AB)

A

lnA + lnB

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7
Q

lnAᴮ

A

BlnA

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8
Q

what is the end behavior as x approaches negative and positive infinite of lnx

A

positive: positive
negative: negative

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9
Q

what is ln(A/B)

A

lnA-lnB

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10
Q

what is ln1

A

0

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11
Q

what is the derivative of lnx

A

1/x

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12
Q

what is the derivative of ln()

A

1/( ) * ( )’

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13
Q

what is the derivative of sin⁻¹x

A

1/√1-x²

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14
Q

what is the derivative of sin⁻¹( )

A

1/√1-( )² * ( )’

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15
Q

what is derivative of cos⁻¹x

A

-1/√1-x²

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16
Q

what is derivative of cos⁻¹( )

A

-1/√1-( )² * ( )’

17
Q

what is the derivative of tan⁻¹x

A

1/1+x²

18
Q

what is the derivative of tan

A

1/1+( )² * ( )’

19
Q

what is the derivative of cot⁻¹x

A

-1/1+x²

20
Q

what is the derivative of cot⁻¹( )

A

-1/1+( )² * ( )’

21
Q

for indeterminate form of ( )ln ( ), how do you put that form?

A

ln ( ) divided by 1/x (the 1 can be any number while x can be any form of x)