Lecture

Derivatives and Limits

Related lectures (29)

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

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Covers the basics of General Physics, focusing on Mechanics SV and key mathematical concepts.

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

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

Covers derivatives, continuity, and reciprocal functions with examples of exponential and trigonometric functions.

Covers trigonometric functions, derivatives, differential equations, and vector properties.

Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

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

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

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

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

Explores applications of trigonometric functions, focusing on the tangent function and its derivatives.

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

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

Covers the solutions to multiple-choice questions 1 to 3.

Introduces fundamental mathematical concepts and their applications in equations and inequalities.

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

Covers differentiability of functions in two variables and the conditions for a function to be differentiable.