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Lecture
Chain Rules
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Related lectures (25)
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Differentiability and Partial Derivatives
Explores differentiability in two variables and the chain rule for compositions.
Functions with Multiple Variables
Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.
Taylor Series: Derivatives and Integrals
Explores Taylor series expansions for derivatives and integrals, including practical applications.
Derivatives and Continuity
Covers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.
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.
Algebraic Operations on Derivatives
Explores algebraic operations for derivatives, including addition, multiplication, and composition of functions on an interval.
Differentiability and Composition
Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.
The Increment Theorem: Understanding Derivatives
Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.
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.