Hyperbolic Tangent and Its Inverse

Graphed below is the hyperbolic tangent function
tanh(x) = (e^x - e^(-x)) / (e^x + e^(-x))

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Click the checkbox to show the inverse function arctanh(x).
Exercise: Use the fact that cosh²(x) - sinh²(x) = 1 to find the derivative of arctanh(x).

Jason McCullough, Created with GeoGebra