Proofs Flashcards

1
Q

u/v

A
 V^2
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2
Q

X

A

1

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3
Q

e^u

A

e^u

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4
Q

sin(u)

A

cos(u)

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5
Q

cot(u)

A

-csc^2(u)

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6
Q

arcsin(u)

A

sqrt(1- u^2)

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7
Q

arccot(u)

A

1 + u^2

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8
Q

|u|

A

U
—- * u’
|u|

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9
Q

log a (u)

A

(ln a)u

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10
Q

cos(u)

A

-sin(u)

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11
Q

sec(u)

A

sec(u)tan(u)

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12
Q

arccos(u)

A

sqrt(1-u^2)

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13
Q

arcsec(u)

A

|u| sqrt(u^2 - 1)

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14
Q

U^n

A

nu^n-1 (u’)

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15
Q

ln(u)

A

U

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16
Q

A^u

A

(ln a) a^u (u’)

17
Q

tan(u)

A

sec^2(u)

18
Q

csc(u)

A

-csc(u) cot(u)

19
Q

arctan(u)

A

1 * u^2

20
Q

arcsec(u)

A

|u| sqrt(u^2 - 1)

21
Q

cu

A

cu’