Implicit Functions Theorem

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Differentiability and Tangent Planes in Multivariable Functions

Covers differentiability in multivariable functions and the existence of tangent planes, emphasizing geometric interpretations and practical applications.

Implicit functions theorem

Explores the implicit functions theorem, showcasing examples of implicit differentiation and function definition.

Tangent Plane to Implicit Function

Explores the tangent plane to implicit functions, emphasizing equations and graphical representations.

Implicit Differentiation: Solving Equations Locally

Explores implicit differentiation and the Implicit Function Theorem for finding unique functions locally.

Implicit Function Theorem

Covers the Implicit Function Theorem for functions of two variables and explores graphical representations and tangent lines.

Tangent Planes and Implicit Functions

Explores tangent planes, implicit functions, and directional derivatives in relation to graphs of functions.

Implicit Functions Theorem

Explores the implicit functions theorem and the equation of the tangent plane in a graph.

Implicit Differentiation

Explores implicit differentiation and the Implicit Function Theorem for finding unique local functions.

Parametric Curves: Envelope and Caustics

Explores parametric curves, focusing on finding envelopes and caustics.

Implicit Functions Theorem

Covers the Implicit Functions Theorem and its applications in defining functions implicitly.