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Lecture
Gradient and Taylor Formula
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Related lectures (19)
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Functions and Derivatives
Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.
Differentiability of Functions in Two Variables
Covers differentiability of functions in two variables and the conditions for a function to be differentiable.
Differential Functions: Derivability and Gradient
Explores differentiability in functions and the role of gradients in directional derivatives.
Taylor Polynomial in Two Variables
Covers the Taylor polynomial in two variables and the concept of extrema in functions of several variables.
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.
Functions: Differentials, Taylor Expansions, Integrals
Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.
Taylor Polynomials: Approximating Functions in Multiple Variables
Covers Taylor polynomials and their role in approximating functions in multiple variables.
Taylor's Formula in Two Variables
Explores Taylor's formula in two variables, emphasizing its application and importance for functions of a single variable.