Tangent Planes and Implicit Functions

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Related lectures (38)

Tangent to Graph of a Function

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

Tangent Planes and Derivatives

Explores directional derivatives, tangent planes, and normal vectors in surfaces.

Differentiability and Tangent Planes

Explores differentiability in functions and tangent planes to surfaces.

Linear Approximation and Derivative Parametric

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

Functions with Values in R^m

Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.

Linear Transformations: Matrices and Kernels

Covers linear transformations, matrices, kernels, and properties of invertible matrices.

Functions: Definitions and Notations

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Derivative: Application Examples

Explores examples of using derivatives to find tangent lines and points on graphs.

Implicit Functions

Covers directional derivatives, implicit functions, and the concept of the maximum.

Implicit Function Theorem: Tangent Planes and Derivatives

Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.

Counterfactuals: SEM and D-Separation

Explores counterfactuals in SEMs and D-Separation in graphical models.

Analyse II: Directional Derivative Log in to Mediaspace to watch this video

Covers the concept and calculation of directional derivatives in multivariable calculus.

Derivatives and Continuity in Multivariable Functions Log in to Mediaspace to watch this video

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Differentiable Functions and Lagrange Multipliers Log in to Mediaspace to watch this video

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

Partial Derivatives: Understanding Tangents Log in to Mediaspace to watch this video

Explores partial derivatives and their role in determining tangents to graphs.

Mathematical Analysis: Functions and Composition Log in to Mediaspace to watch this video

Covers the analysis of functions, composition, and mathematical induction.

Geometric Interpretation of Derivatives Log in to Mediaspace to watch this video

Explores the geometric interpretation of derivatives and properties of derivable functions.

Directional Derivatives and Tangent Planes Log in to Mediaspace to watch this video

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

Exact Differential Equations Log in to Mediaspace to watch this video

Revisits exact differential equations, discussing implicit function theorem and factors integrants.

Advanced Analysis II: Tangent Plan and Differentiability Log in to Mediaspace to watch this video

Explores tangent planes and differentiability in advanced analysis, emphasizing the properties of tangent planes and the conditions for differentiability.

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