C3 Flashcards

1
Q

What is the derivative of cosecx

A

-cosecxcotx

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2
Q

What is cosecx

A

1/sinx

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3
Q

What is secx

A

1/cosx

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4
Q

At which point does y=lnx pass through the x axis

A

(1,0)

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5
Q

What is the inverse of e^x

A

lnx

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6
Q

What point do all exponentials pass through

A

(0,1)

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7
Q

What is the derivitive of cosx

A

-sinx

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8
Q

What is the derivitive of sinx

A

cosx

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9
Q

What is the derivitive of lnx

A

1/x

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10
Q

What is the tan double angle formula

A

(2tanA)/(1-tan²A)

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11
Q

What is the chain rule

A

dy/dx=dy/du x du/dx

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12
Q

What is the product rule

A

u dv/dx + v du/dx

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13
Q

What is the cos double angle formula

A
cos²A-sin²a
or
2cos²A-1
or
1-2sin²A
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14
Q

What function is a reflection of f(x) in the y=x line

A

f-1(x)

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15
Q

What is the derivitive of tanx

A

sec²

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16
Q

What is the sin double angle formula

A

sin2A=2sinAcosA

17
Q

What is the derivitive of secx

A

secxtanx

18
Q

What can cot be written as

A

1/tan
or
cos/sin

19
Q

How do you work out tan(A-B)

A

(tanA-tanB)/(1+tanAtanB)

20
Q

How do you work out cos(A-B)

A

CosACosB+SinASinB

21
Q

How do you work out cos(A+B)

A

CosACosB-SinASinB

22
Q

How do you work out Sin(A-B)

A

SinACosB-CosASinB

23
Q

How do you work out Sin(A+B)

A

SinACosB+CosASinB

24
Q

What is Sin²x+cos²x equal to

A

1

25
Q

What is the quotent rule

A

[v du/dx - u dv/dx]/ v²