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Gudermannian function
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Derivatives and Extrema: Theory and Applications
Explores derivatives, extrema, and their practical applications in function analysis.
Inverse Hyperbolic Functions
Explores inverse hyperbolic functions and their parallels with trigonometric functions, deriving explicit expressions and discussing their properties.
Exponential Function: Theory and Applications
Explores the theory and applications of the exponential function and its properties.
Derivatives and Hyperbolic Functions
Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.
Integral Techniques: Trigonometric/Hyperbolic Functions
Covers integration techniques using trigonometric and hyperbolic functions, with examples and variable changes.
Trigonometric Functions and Derivatives
Covers trigonometric functions, derivatives, and their applications in solving mathematical problems.
Inverse Hyperbolic Functions
Explores the inverse hyperbolic functions and their derivatives, emphasizing the bijection property of coth(x).
Integration Techniques: Trigonometric and Hyperbolic Functions
Covers integration techniques with trigonometric and hyperbolic functions, including square roots and trigonometric identities.
Periodic Functions: Limits and Compositions
Explores periodic functions, limits, compositions, and properties of even and odd functions.
Geometric Series: Properties and Applications
Explores the properties and applications of geometric series, including logarithmic functions and theorems related to area under curves.
