Differentiable Functions in R²

Related lectures (29)

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

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

Covers the concept of osculating planes and parameterized curves, discussing the speed of points and linear independence.

Covers the definitions of differentiable and derivable functions and their geometric interpretation.

Explores differentiable functions in R², including vector fields and coordinate transformations.

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

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

Covers derivability, linear applications, composition of functions, and the gradient vector.

Explores differentiability in two variables and the chain rule for compositions.

Covers vector spaces, differentiable functions, scalar product, and norms in depth.