Formulas Flashcards

1
Q

Quotient Rule

A
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2
Q

Derivative of

(sin-1x)’

A
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3
Q

Derivative of

(tanh-1 x)’

A
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4
Q

Derivative of

(sec x)’

A
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5
Q

Derivative

(csc x)’

A
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6
Q

Derivative

(tan-1 x)<strong>’ </strong>

A
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7
Q

Derivative

(sinh-1 x)

A
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8
Q

Integral

sec u•tan u•du

A
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9
Q

Integral

cot u•du

A
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10
Q

Integral

au • du

A
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11
Q

Integral

sec2x • du

A
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12
Q

Identity

sinh x =

A
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13
Q

Identity

cosh x =

A
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14
Q

Identity

sec2x

A

sec2x = 1 + tan2x

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15
Q

Double-Angle Formula

sin (2x) =

A

sin(2x) = 2•sinx•cosx

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16
Q

Double-Angle Formula

cos(2x)

A

cos(2x) = cos2x - sin2x

17
Q

Half-Angle Formula

sin2x

A
18
Q

Derivative

ax

A

ax = ax ln |a|

19
Q
A
19
Q
A
20
Q
A
21
Q
A
22
Q

Arc Length Formula L

A
23
Q

Surface Area About the x-axis

A
24
Q

p > 1

A

Converges

25
Q

p <= 1

A

Divergence

26
Q

Population Growth Formula

A

dP/dt = kP (1 - P/M)