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Derivative and Local Extrema Study
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Related lectures (30)
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Differentiability and Tangent Lines
Explores differentiability, tangent lines, and graph interpretation.
Differentiability: Partial Derivatives and Hessiennes
Explains partial derivatives, Hessienne matrix, and their properties.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Derivative Chain Rule
Covers the derivative of the composition of two functions and the chain rule theorem.
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Covers the concept of stationary points in optimization and how to identify local extrema.
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Explores the connection between limit existence and function continuity, emphasizing derivative properties and function graphs.
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Covers Fermat's theorem, necessary optimality conditions, convexity, and eigenvalue curvature in optimization.
Change of Variables: Derivative and Application
Explores the derivative of composite functions and their application in changing variables.
Demonstration of Theorem 8.2
Explores the conditions for a function to be continuous and differentiable.
Derivatives and Local Extrema
Explores derivatives, local extrema, and function variation in mathematical analysis.