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Lecture
Implicit Examples: Hyperplane and Stationary Points
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Related lectures (35)
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
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Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
Implicit Function Theorem
Explores the Implicit Function Theorem, supporting hyperplanes, local extrema, and higher-order derivatives, concluding with the classification of stationary points.
Partial Derivatives: Taylor Formula
Explores partial derivatives, Taylor formula, examples, and extrema of functions.
Points 7-9 du procédé
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Covers the analysis of local and global extrema, concavity, and inflection points.
Inflection Points
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Explores inflection points in functions, emphasizing the role of the second derivative.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Implicit Function Theorem: Local Extrema
Explores the Implicit Function Theorem, local extrema, supporting hyperplanes, and higher-order derivatives.
Linear Approximation and Derivative Parametric
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Partial Derivatives: Extrema and Hessians
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Optimality Conditions: Unconstrained
MOOC: Optimization: principles and algorithms - Unconstrained nonlinear optimization
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Partial Derivatives: Derivability
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Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.
Convergence Criteria: Necessary Conditions
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Explains necessary conditions for convergence in optimization problems.
Differential Calculation: Trigonometric Derivatives
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Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Implicit Curves: Analysis & Regular Points
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Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.
Partial Derivatives and Differential Equations
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Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.
Differential Calculus: Definition and Derivability
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Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Mathematical Methods for Materials Science: Integrals, Exact Differentials
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Explores limits, derivation rules, integrals, and exact differentials for practical applications.
Directional Derivatives
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Explores directional derivatives in two-variable functions and extremum points.
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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