Lectures related to Inverse Hyperbolic Functions

Explores the inverse hyperbolic functions and their derivatives, emphasizing the bijection property of coth(x).

Covers hyperbolic functions, including definitions, properties, and derivatives, explained with detailed examples and derivations.

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Explores hyperbolic functions, their properties, and derivatives, including tanh(x) and arctanh(x).

Covers trigonometric functions, derivatives, and their applications in solving mathematical problems.

Explores derivatives, extrema, and their practical applications in function analysis.

Covers the definitions and examples of hyperbolic tangent and cotangent functions.

Explores differential calculation with hyperbolic functions and Taylor series, emphasizing the importance of signed areas in integrals.

Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.

Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.

Covers examples of inverse hyperbolic functions and their applications in solving mathematical problems.

Covers the concept of functional derivatives and their calculation process with examples.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Explores the derivatives of trigonometric functions and their geometric interpretations, including sine, cosine, and tangent functions.

Covers derivatives, limits, and trigonometric functions in calculus.

Covers the rules of derivatives, O-notation, and extrema in the context of theorem 6.5 and examples.

Explains the inverse function identity and provides examples with ln(x), sin(x), and cos(x).

Explores inverse functions, derivatives, and solutions in a mathematical context.

Covers derivatives, notations, composition of functions, and multiple derivatives in advanced analysis.

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.