Lectures related to Elementary Functions and Derivatives

Explores derivability and continuity of functions, showcasing examples of functions with differentiability properties.

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

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

Explains the concept of limit superior and limit inferior for bounded sequences.

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

Explores series convergence analysis through detailed examples and precise calculations.

Explores upper and lower limits of sequences and their convergence.

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

Introduces derivatives, tangent lines, rules of differentiation, and practical examples.

Covers derivatives, tangents, secants, and rules for deriving elementary functions.

Explores derivatives, tangents, and elementary function rules in general mathematics.

Explores developing limits using Taylor series for function approximations and understanding functions with derivatives approaching zero.

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Explores chaos in quantum field theories, focusing on conformal symmetry, OPE coefficients, and random matrix universality.

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

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

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

Covers the theorem of the intermediate value, corollaries, and geometric interpretation of derivatives.