Test 6 Flashcards

1
Q

coshx

A

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

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2
Q

sinh(-x)

A

-sinhx

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3
Q

cosh(-x)

A

coshx

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4
Q

cosh^2 - sinh^2 = 1

A

cosh^2 = 1 + sinh^2

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5
Q

1 - tanh^2 = sech^2

A

sech^2 + tanh^2 = 1

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6
Q

sinh(x+y)

A

sinhx * coshy + coshx * sinhy

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7
Q

cosh(x+y)

A

coshx * coshy + sinhx * sinhy

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8
Q

d/dx (sinhx)

A

coshx

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9
Q

d/dx (coshx)

A

sinhx

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10
Q

d/dx (tanhx)

A

sech^2

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11
Q

d/dx (cschx)

A

-cschx * cothx

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12
Q

d/dx (sechx)

A

-sechx * tanhx

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13
Q

d/dx (cothx)

A

-csch^2

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14
Q

d/dx (sinh^-1)

A

1 / root(1 + x^2)

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15
Q

d/dx (cosh^-1)

A

1 / root (x^2 - 1)

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16
Q

d/dx (tanh^-1)

A

1 / (1 - x^2)

17
Q

d/dx (csch^-1)

A

-1 / {|x|(root (X^2 + 1)}

18
Q

d/dx (sech^-1)

A

-1 / {x * root (1 - x^2)}

19
Q

d/dx (coth^1)

A

1 / (1 - x^2)

20
Q

sinhx

A

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