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Lecture
Derivatives and Chain Rule
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Related lectures (53)
Power Functions: Properties and Derivatives
Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.
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Explores the extension of the chain rule to higher dimensions and compositions of functions.
Derivatives and Tangents
Introduces derivatives, tangent lines, rules of differentiation, and practical examples.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Derivatives and Continuity
Covers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.
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MOOC: Analysis I
MOOC: Analysis I (part 5): Continuous and derivable functions, the derivative function
Covers the derivative of the composition of two functions and its applications.
Derivatives: Chain Rule and Composed Functions
Covers derivatives, chain rule, and composed functions with examples and applications.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Untitled
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
Generalized Powers: Derivatives and Exponentials
Covers properties of logarithms, derivatives, exponentials, and sine-cosine functions.
Differentiability and Partial Derivatives
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Explores differentiability in two variables and the chain rule for compositions.
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.
Differential Calculus: Definition and Derivability
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Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Derivative Chain Rule
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Covers the derivative of the composition of two functions and the chain rule theorem.
Differentiability and Composition
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Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.
Derivability and Composition of Functions
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Explores derivability and function composition with examples.
Linear Applications and Matrix Derivatives
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Explores linear applications, derivatives, Jacobian matrix, composition of functions, and matrix products.
Differential Calculation: Trigonometric Derivatives
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Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Laplacian in Polar and Spherical Coordinates: Derivatives
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Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.
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