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Hyperbolic FunctionsCovers hyperbolic functions, including definitions, properties, and derivatives, explained with detailed examples and derivations.
Hyperbolic FunctionsExplores hyperbolic functions, their properties, and derivatives, including tanh(x) and arctanh(x).
Limits and ContinuityExplores limits, continuity, and function characterization, emphasizing the preservation of continuity and the importance of understanding restrictions.
Gaussian Curvature and GeodesicsExplores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
Inverse Hyperbolic FunctionsExplores inverse hyperbolic functions and their parallels with trigonometric functions, deriving explicit expressions and discussing their properties.