How to prove arctanh x?

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  1. Pi and the Fibonacci Numbers How Pi is calculated Until very recently there were just two methods used to compute pi (π), one invented by the Greek mathematician
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  2. Calculus I - Derivative of Inverse Tangent Function arctan(x) - Proof :

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  3. Calculus I - Derivative of Inverse Hyperbolic Sine Function arcsinh(x) - Proof :

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  4. Integrate x*Arctan(x) :

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  5. function derived from domain range; Arcsin: inverse of sine function [−1; +1] [−π/2; +π/2] Arccos: Arccos x = π/2 − Arcsin x [−1; +1] [0; π] Arctan
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  6. Calculus I - Derivative of Hyperbolic Cosecant Function csch(x) - Proof :

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  7. Prove tan^-1 (x) + tan^-1 (y)= tan^-1 ((x+y)/(1-x*y)) since, arctan(x)= tan^-1(x)=y and tan y= x therefore tan^-1(x) + tan^-1(y) = y+ tan^-1(y) therefore tan^-1(x
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  8. Calculus I - Derivative of Inverse Hyperbolic Cosine Function arccosh(x) - Proof :

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  9. Calculus I - Derivative of Hyperbolic Cotangent Function coth(x) - Proof :

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  10. Prove a Property of Hyperbolic Functions: (tanh(x))^2 + (sech(x))^2 = 1 :

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  11. In my textbook it asks for me to: Prove that there is no constant $C$ such that $\text{arccot}(x) - \text{arctan}(\frac{1}{x}) = C $ for all $x \ne 0$.
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  12. Several important formulas, sometimes called logarithmic identities or log laws, relate logarithms to one another. Product, quotient, power and root. The logarithm
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  13. Calculus I - Derivative of Inverse Hyperbolic Tangent Function arctanh(x) - Proof :

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  14. Calculus I - Derivative of Hyperbolic Tangent Function tanh(x) - Proof :

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