MAS005 May Exam 2024 Flashcards

1
Q

cosh(x) in terms of e

A

(e^x + e^-x) / 2

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2
Q

sinh(x) in terms of e

A

(e^x - e^-x) / 2

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3
Q

derivative of sinh x

A

cosh x

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4
Q

derivative of cosh x

A

sinh x

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5
Q

derivative of tan x

A

sec^2(x)

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6
Q

derivative of cosec(x)

A

-cotx * cosecx

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7
Q

derivative of sec(x)

A

sec(x) * tan(x)

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8
Q

derivative of cot(x)

A

-cosec^2(x)

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9
Q

derivative of cosech (x)

A

-cothx * cosechx

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10
Q

derivative of sech(x)

A

-sechx * tanhx

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11
Q

derivative of coth(x)

A

-cosech^2(x)

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12
Q

derivative of arcsin(x)

A

1 / SQRT( 1 - x^2)

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13
Q

derivative of arccos(x)

A

-1 / SQRT( 1 - x^2)

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14
Q

derivative of arctan(x)

A

1 / (1 + x^2)

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15
Q

P( A U B) =

A

P(A) + P(B) - P(A n B)

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16
Q

P(A n B) =

A

P(A|B) * P(B)

17
Q

derivative of tanh x

A

sech^2(x)