Derivative: introduction

Related lectures (50)

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 finding tangent equations and slopes through derivatives.

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

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

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.

Discusses the error between f'(x0) and its approximation using a backward finite difference formula.

Explains the integration of Taylor series for CnR class functions.

Covers the theory of finite differences and the mean value theorem.

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

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

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

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

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

Explains partial derivatives, Hessienne matrix, and their properties.

Explores the definition of connections for smooth vector fields on manifolds.

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