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Related lectures (29)
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Derivative and Local Extrema Study
Explores the study of local extrema using derivatives and the importance of continuity at critical points.
Local Extremums of Functions in Multivariable Calculus
Revisits local and absolute extremums of multivariable functions, emphasizing critical points and their classification.
Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Extreme Points of Functions
Covers the definition of extremum of a function and necessary conditions for local extrema.
Partial Derivatives: Extrema and Hessians
Discusses extrema of functions with multiple variables and the hessian matrix.
Concavity and Convexity: Analysis of Functions
Explores concavity, convexity, critical points, and singularities in functions.
Finding Absolute Extrema in Multivariable Functions
Covers the conditions for finding absolute extrema in multivariable functions.
Derivatives and Hyperbolic Functions
Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.
Rolle's Theorem: Applications and Examples
Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.