Lectures related to Derivative and Local Extrema Study

Explores the study of local minima and maxima through derivatives and sign changes.

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Explores finding the equation of the tangent line to a function's graph at a point.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Discusses optimization techniques, focusing on local and global extrema in functions.

Explores derivability, continuity, and composite functions with illustrative examples.

Covers the rules of derivatives, O-notation, and extrema in the context of theorem 6.5 and examples.

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Explores differentiability, tangent lines, and graph interpretation.

Explains partial derivatives, Hessienne matrix, and their properties.

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Covers the derivative of the composition of two functions and the chain rule theorem.

Covers the concept of stationary points in optimization and how to identify local extrema.

Explores the connection between limit existence and function continuity, emphasizing derivative properties and function graphs.

Covers Fermat's theorem, necessary optimality conditions, convexity, and eigenvalue curvature in optimization.

Explores the derivative of composite functions and their application in changing variables.

Explores the conditions for a function to be continuous and differentiable.

Explores derivatives, local extrema, and function variation in mathematical analysis.