Lectures related to Derivatives and Continuity in Mathematics

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

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

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

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

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

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

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

Introduces real analysis basics, including functions, sequences, limits, and set properties in R.

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

Covers the applications and demonstrations of Rolle's Theorem in differential calculus.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

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

Explores Rolle's theorem application and function extrema conditions.

Explores inflection points in functions, emphasizing the role of the second derivative.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.

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

Explains partial and directional derivatives, and functions' derivability.

Covers the fundamentals of calculus, focusing on derivatives and integrals.

Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.