Lectures related to Derivatives and Continuity

Covers derivability on an interval, including Rolle's Theorem and practical applications in function analysis.

Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.

Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.

Explores the derivatives of trigonometric functions and their geometric interpretations, including sine, cosine, and tangent functions.

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.

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

Covers the concept of partial derivatives and their applications in mathematical analysis.

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Discusses generalized fine increments, function evaluation, theorems, and derivative applications.

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

Covers the concept of functional derivatives and their calculation process with examples.

Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.

Covers differentiability, derivatives, continuity, and matrices in functions from R^n to R^m.

Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.

Explores derivability and function composition with examples.

Covers the solutions to multiple-choice questions related to functions and derivatives.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

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

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