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Related lectures (29)
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Inflection Points
Explores inflection points in functions, emphasizing the role of the second derivative.
Chapter 5: Function Studies
Covers the study of functions, including limits, derivatives, and sign variations.
Implicit Function Theorem: Local Extrema
Explores the Implicit Function Theorem, local extrema, supporting hyperplanes, and higher-order derivatives.
Function Studies: Limits, Derivatives, and Convexity
Covers the essential elements for studying a function, including its domain, behavior at boundaries, limits, derivatives, and points of inflection.
Implicit Function Theorem
Explores the Implicit Function Theorem, supporting hyperplanes, local extrema, and higher-order derivatives, concluding with the classification of stationary points.
Extrema of Functions
Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.
Mathematical Methods for Materials Science: Integrals, Exact Differentials
Explores limits, derivation rules, integrals, and exact differentials for practical applications.
Rolle's and Mean Value Theorem
Covers higher derivatives, local extrema, and the application of Rolle's and Mean Value Theorems.
Derivative and Local Extrema Study
Explores the study of local minima and maxima through derivatives and sign changes.
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
