Concept

Multivalued function

Related lectures (30)

Exercise - limit development

Covers the calculation of limit developments, series convergence, and derivatives of arctan function.

Derivatives of Trigonometric Inverse Functions

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

Complex Analysis: Laurent Series

Explores Laurent series in complex analysis, emphasizing singularities, residues, and the Cauchy theorem.

Trigonometric Equations: Tangent and Cotangent

Explores solving trigonometric equations with tangent and cotangent functions, along with arctangent and arccotangent definitions.

Derivation and Integration Rules in Analyse 2

Explores derivation and integration rules for Taylor polynomials, showcasing iterative methods to calculate functions like ln(x) and arctan(x).

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Derivable ↔ Differentiable

Explores the equivalence between being derivable and differentiable functions, with examples like sin(x) at x=0.

Integration of CnR Class Functions

Explains the integration of Taylor series for CnR class functions.

Definition of Indefinite Integral

Explains the definition and properties of indefinite integrals, highlighting the relationship between primitives and the set of all primitives of a function.

Lipschitz Gradient Theorem

Covers the Lipschitz gradient theorem and its applications in function optimization.

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Exponential Function: Properties and Definitions

Explores the properties and definitions of the exponential function and its relation to the natural logarithm.

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

Taylor Series: Convergence and Applications

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

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Implicit Functions Theorem

Explores the Implicit Functions Theorem, demonstrating how to find solutions to equations like x²+y²=1 through implicit differentiation and function properties.

Partial Derivatives and Functions

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

Implicit Functions Theorem

Explains the Implicit Functions Theorem and conditions for defining functions implicitly.

Trigonometric Functions: Arctan and Arccot

Explores arctan and arccot functions, their properties, graphs, and notable values.

Universal Coating: Understanding and Proof

Explores the concept of universal coating through detailed proofs and examples, emphasizing uniqueness and significance.