Lectures related to Derivability Conditions

Differentiability of Functions of Several Variables

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Tangent to Graph of a Function

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

Differentiability and Tangent Planes

Explores differentiability in functions and tangent planes to surfaces.

Directional Derivatives and Tangent Planes

Explores directional derivatives, tangent planes, and function differentiability in multivariable calculus.

Directional Derivatives

Explores directional derivatives in two-variable functions and extremum points.

Tangent Spaces in Algebraic Geometry

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Tangent Planes and Derivatives

Explores directional derivatives, tangent planes, and normal vectors in surfaces.

Analyse II: Directional Derivative

Covers the concept and calculation of directional derivatives in multivariable calculus.

Geometric Interpretation of Derivatives

Explores the geometric interpretation of derivatives and properties of derivable functions.

Derivability and Continuity

Explores derivability, continuity, and composite functions with illustrative examples.

Implicit Function Theorem: Tangent Planes and Derivatives

Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.

Differential Calculus: Definition and Derivability

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Limits of Functions in R^n

Explores limits of functions in R^n and the importance of understanding derivatives in multiple dimensions.

Functions with Multiple Variables

Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.

Continuity and Differentiability of Functions

Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.

Differentiability and Tangent Planes in Multivariable Functions

Covers differentiability in multivariable functions and the existence of tangent planes, emphasizing geometric interpretations and practical applications.

Directional Derivatives

Covers the concept of directional derivatives in multivariable calculus and their applications.

Directional Derivatives

Explores directional derivatives, their calculation, examples, and cases of lack of continuity.

Rolle's Theorem: Applications and Examples

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Derivatives and Continuity in Multivariable Functions

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