Lectures related to Second derivative

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

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

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

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

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

Explores concavity, convexity, critical points, and singularities in functions.

Explains necessary conditions for convergence in optimization problems.

Explains partial derivatives, Hessienne matrix, and their properties.

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

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

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

Covers the concepts of convexity and concavity in functions with examples.

Explores convexity, concavity, and limiting developments for functions, emphasizing extrema and derivative properties.

Explains partial derivatives, generalization, and second order derivatives with examples and mathematical notations.

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

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Explains the Jacobian matrix and derivative of composite functions with examples.

Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.