Differentiability and Derivatives

Related lectures (25)

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

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

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

Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.

Covers the computation of derivatives and the properties of differentiable functions.

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

Covers limits, algebraic operations, and infinite limits with examples of functions' behavior near limit points.

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

Covers limits and continuity in multivariable functions, including examples and techniques for showing the existence of limits.

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.