calc unit 3 Flashcards

1
Q

product rule

A

a’b+ab’

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2
Q

quotient rule

A

ba’-b’a/b^2

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3
Q

chain rule

A

f’(u)u’

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4
Q

derivative of a^x

A

(lna)a^x

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5
Q

derivative of log a^x

A

1/(lna)x

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6
Q

derivative of sin

A

cos

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7
Q

derivative of cos

A

-sin

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8
Q

derivative of tan

A

sec^2

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9
Q

derivative of csc

A

-csc cot

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10
Q

derivative of sec

A

sec tan

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11
Q

derivative of cot

A

-csc^2

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12
Q

pi/6

A

(sqrt(3)/2, 1/2)

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13
Q

pi/4

A

(sqrt(2)/2, sqrt(2)/2)

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14
Q

pi/3

A

(1/2, sqrt(3)/2)

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15
Q

pi/2

A

(0,1)

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16
Q

arcsin u

A

u’/sqrt(1-u^2)

17
Q

arctan

A

u’/(1+u^2)

18
Q

arcsec u

A

u’/(|u|sqrt(u^2-1))

19
Q

arccos u

A

-u’/sqrt(1-u^2)

20
Q

arccot u

A

-u’/(1+u^2)