Hyperbolic Functions Flashcards

0
Q

Derivative of sinhx

A

coshx

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1
Q

Hyperbolic identities

A
  • sinh(-x) = - sinhx
  • cosh2(x) - sinh2x = 1
  • sinh(x+y) = sinhx.coshy + coshx.sinhy
  • cosh(x+y) = coshx.coshy + sinhx.sinhy
  • cosh(-x) = coshx
  • 1 - tanh2x = sech2x
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2
Q

Derivative of coshx

A

sinhx (NOT -sinhx)

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3
Q

Derivative of tanhx

A

sech2x

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4
Q

Derivative of cschx

A

-cschx.cothx

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5
Q

Derivative of sechx

A

-sechx.tanhx

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6
Q

Derivative of cothx

A

-csch2x

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7
Q

Definition of sinhx

A
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8
Q

Define coshx

A
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9
Q

Define tanhx

A
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10
Q

Define cosechx

A
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11
Q

Define sechx

A
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12
Q

Define cothx

A
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13
Q

Derivative of sinh-1x

A
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14
Q

Derivative of cosh-1x

A
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15
Q

Derivative of tanh-1x

A
16
Q

Derivative of csch-1x

A
17
Q

Derivative of sech-1x

A
18
Q

Derivative of coth-1x

A
19
Q

Define sinh-1x

A
20
Q

Define cosh-1x

A
21
Q

Define tanh-1x

A
22
Q
A