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Lecture
Derivatives and Chain Rule
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Related lectures (53)
Advanced Analysis II: Derivatives and Functions
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Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.
Derivability and Chain Rule
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Covers the demonstration of the chain rule and the theorem of Rolle.
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Covers derivatives, differentiability, and tangent planes for functions of one and two variables.
Differentiability: Partial Derivatives and Hessiennes
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Derivability and Continuity
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Explores derivability, continuity, and composite functions with illustrative examples.
Partial Derivatives: Derivability
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Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.
Derivatives of Composite Functions
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Covers derivatives of composite functions and the chain rule in calculus.
Divergence Examples
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Explores examples of divergence in vector fields and their physical meanings.
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Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.
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Covers differentiable functions, derivatives, and tangent planes in mathematics.
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Explores functions of class C^p, emphasizing continuity and differentiability properties.
The Increment Theorem: Understanding Derivatives
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Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.
Computing Derivatives: Derivatives and Algebraic Operations
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Covers the computation of derivatives and the properties of differentiable functions.
Partial Derivatives and Functions
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Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
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Explores differentiable functions in R², including vector fields and coordinate transformations.
Differentiability Analysis
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Explores differentiability, partial derivatives, Schwarz's theorem, and function continuity in mathematical analysis.
Mathematical Notations and Functions in General Physics
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Advanced Analysis 2: Linear Differential of Functions
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Explores linear differential of functions, continuity, differentiability, and matrix representation.
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Covers the definition of derivatives and provides examples of differentiable functions.
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Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.
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