Derivatives of Inverse Hyperbolic Trigonometric Functions

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6 Terms

1
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(d/dx) sinh⁻¹ (x) =

1/ √x²+1

2
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(d/dx) cosh⁻¹ (x) =

1/ √x²-1

3
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(d/dx) tanh⁻¹ (x) =

1/ 1-x²

4
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(d/dx) coth⁻¹ (x) =

1/ 1-x²

5
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(d/dx) sech⁻¹ (x) =

-(1/ x√1-x²)

6
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(d/dx) csch⁻¹ (x) =

-(1/ |x| √x²+1)