Derivatives of the Inverse of Hyperbolic Functions

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Last updated 6:13 PM on 7/22/26
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6 Terms

1
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What is the derivative of the inverse of sinh x ?

1/√ (x² + 1)

2
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What is the derivative of the inverse of cosh x ?

1 / √(x² -1)

3
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What is the derivative of the inverse of tanh x ?

1/(1-x²)

4
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What is the derivative of the inverse of coth x ?

1 / (1-x²)

5
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What is the derivative of the inverse of sech x ?

-1/x√(1-x²)

6
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What is the derivative of the inverse of csch x ?

-1/
|x| √( 1 + x²)