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Chain Rules
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Related lectures (31)
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.
Algebraic Operations on Derivatives
MOOC: Analysis I
MOOC: Analysis I (part 5): Continuous and derivable functions, the derivative function
Explores algebraic operations for derivatives, including addition, multiplication, and composition of functions on an interval.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Differentiability: Theorem and Mean Value Theorem
Explores differentiability, gradients, and the Mean Value Theorem for functions.
Differentiability: Theorem and Mean Value Theorem
Explores differentiability, gradients, and the Mean Value Theorem in open sets.
Algebraic Operations on Limited Developments
Explores algebraic operations on limited developments and their consequences on differentiable functions, illustrated through examples.
Definition of Differentiable Functions
MOOC: Analysis I
MOOC: Analysis I (part 5): Continuous and derivable functions, the derivative function
Covers the definition of differentiable functions and explores the representation of the remainder in derivatives.
Intermediate Value Theorem
Covers the Intermediate Value Theorem and its applications in finding solutions of equations and understanding the properties of continuous functions.
Differentiability and Partial Derivatives
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Explores differentiability in two variables and the chain rule for compositions.
Functions and Coordinate Changes
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Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.
Differentiability and Composition
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Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.
The Increment Theorem: Understanding Derivatives
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Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.
Differentiation and Coordinate Changes in Multivariable Functions
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Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.
How to Succeed in Exams
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Offers strategies for exam success through revisiting notes and taking mock tests.
Differential Calculus: Definition and Derivability
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Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Directional Derivatives and Tangent Planes
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Explores directional derivatives, tangent planes, and function differentiability in multivariable calculus.
Derivatives and Continuity in Multivariable Functions
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Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
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