Lectures related to Derivative and Local Extrema Study

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

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

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

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

Explores directional derivatives in two-variable functions and extremum points.

Explores differentiability, tangent lines, and graph interpretation.

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

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

Covers differentiable functions, derivatives, and tangent planes in mathematics.

Explores the study of local extrema using derivatives and the importance of continuity at critical points.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Explores differentiability in two variables and the chain rule for compositions.

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

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

Explores differentiability in functions and geometric interpretation of tangent planes.

Explains partial derivatives, Hessienne matrix, and their properties.

Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.

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

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

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.