Lectures related to Derivability and Continuity

Covers elementary functions, derivatives, limits, continuity, and differentiability.

Explores convexity, optimization, and critical points in mathematical functions using the second derivative.

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

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Covers differentiability, derivatives, continuity, and matrices in functions from R^n to R^m.

Explores differentiability, tangent lines, and graph interpretation.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Covers the fundamentals of calculus, focusing on derivatives and integrals.

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.

Covers differentiability of functions in two variables and the conditions for a function to be differentiable.

Explores derivability and function composition with examples.

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

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Covers functions, including even and odd functions, periodicity, and function operations.

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Explores differentiability, matrices, Jacobian matrix, and derivatives calculation.

Explores the conditions for continuity and differentiability of functions on a closed interval.

Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.