Lectures related to Derivative: introduction

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

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

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

Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Explores finding tangent equations and slopes through derivatives.

Explores the connection between limit existence and function continuity, emphasizing derivative properties and function graphs.

Covers the derivative of the composition of two functions and the chain rule theorem.

Explores the theorems of continuity and derivative numbers, including strict monotonicity and the Newton ratio.

Covers the definition of continuity at a point using epsilon and delta.

Covers the definition of derivatives and provides examples of differentiable functions.

Covers the demonstration of the chain rule and the theorem of Rolle.

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

Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.

Explains the definition of a limit and the concept of a pointed limit.

Explains the Jacobian matrix and derivative of composite functions with examples.

Explores function limits, including right and left limits, algebraic operations, and the theorem of the two gendarmes.

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

Covers the definition of a function being derivable at a point.