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Lecture
Differentiability and Tangent Planes
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Related lectures (27)
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Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Functions and Coordinate Changes
Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.
Differentiability and Tangent Lines
Explores differentiability, tangent lines, and graph interpretation.
Differentiable Functions: Definitions and Interpretation
Covers the definitions of differentiable and derivable functions and their geometric interpretation.
Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
Differentiability of Functions of Several Variables
Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
Differentiability and Derivatives
Covers differentiability, derivatives, continuity, and matrices in functions from R^n to R^m.
Differentiability of Functions in Two Variables
Covers differentiability of functions in two variables and the conditions for a function to be differentiable.
Differentiability and Tangent Planes in Multivariable Functions
Explains differentiability in multivariable functions and the geometric interpretation of tangent planes.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.