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Lecture
Differentiability and Tangent Planes in Multivariable Functions
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Related lectures (11)
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Differentiability of Functions of Several Variables
Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
Differentiability and Tangent Planes in Multivariable Functions
Explains differentiability in multivariable functions and the geometric interpretation of tangent planes.
Implicit Function Theorem: Tangent Planes and Derivatives
Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.
Limits and Derivatives in Multivariable Functions
Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Implicit Functions Theorem
Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.
Differentiation and Coordinate Changes in Multivariable Functions
Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.
Partial Derivatives and Functions
Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
Parametric Curves: Analysis and Applications
Covers the analysis of parametric curves and their tangent vectors, focusing on applications and geometric interpretations.
Taylor Polynomials: Approximating Functions in Multiple Variables
Covers Taylor polynomials and their role in approximating functions in multiple variables.