Differential and Tangent Plan

Related lectures (27)

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Explores the Local Inversion Theorem and extremum points in functions.

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Explores algebraic operations for derivatives, including addition, multiplication, and composition of functions on an interval.

Explores supporting hyperplanes for approximating function graphs in higher dimensions through normal vectors and linear approximations.

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

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

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

Explores directional derivatives, tangent planes, and function differentiability in multivariable calculus.

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

Covers differential equations, including examples and unique solutions.