Differentiability and Limits

Related lectures (22)

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Explores the extension of the chain rule to higher dimensions and compositions of functions.

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

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

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

Explores Taylor series expansion, derivatives, uniqueness, and applications in function approximation.

Covers the concept of limits and continuity in real analysis.

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.