Hyperbolic Trig Derivatives

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12 Terms

1

d/dx argsinh(x)

1/sqrt(1+x²)

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2

d/dx argcosh(x)

1/sqrt(x²-1)

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3

d/dx argtanh(x)

1/(1-x²), |x|<1

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4

d/dx argcoth(x)

1/(1-x²), |x|>1

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5

d/dx argsech(x)

-1/(x sqrt(1-x²), 0<x<1

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6

d/dx argcsch(x)

-1/(|x| sqrt(1+x²)), x≠0

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7

d/dx sinh(x)

cosh(x)

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8

d/dx cosh(x)

sinh(x)

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9

d/dx tanh(x)

sech²(x)

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10

d/dx coth(x)

-csch²(x)

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11

d/dx sech(x)

-sech(x)tanh(x)

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12

d/dx csch(x)

-csch(x)coth(x)

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