Comparing Functions

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Related lectures (35)

Power Functions: Properties and Derivatives

Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.

Generalized Powers: Derivatives and Exponentials

Covers properties of logarithms, derivatives, exponentials, and sine-cosine functions.

Lagrange Method: 2 Constraints

Explains the Lagrange method with 2 constraints and composite functions' derivatives.

Intermediate Value Theorem

Covers the Intermediate Value Theorem and its applications in finding solutions of equations and understanding the properties of continuous functions.

Rolle's Theorem: Applications and Examples

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

Derivatives Operations

Covers algebraic operations on derivatives and the concept of continuity and differentiability.

Tangent to Graph of a Function

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

Differential Equations: Solutions and Derivatives

Explores differential equations solutions, derivatives, differentiability, composite functions, and continuous functions.

Derivatives: Definition and Properties

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

Derivatives and Reciprocal Functions

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

Surjectivity of Derivative Application MOOC: Analysis I MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)

Covers the surjectivity of the derivative application for continuous functions on closed intervals.

Directional Derivatives

Explores directional derivatives, their calculation, examples, and cases of lack of continuity.

Closed Intervals: Definitions and Remarks MOOC: Analysis I MOOC: Analysis I (part 5): Continuous and derivable functions, the derivative function

Explains definitions and remarks about closed intervals in functions.

Differential Calculus: Introduction and Summary

Introduces and summarizes differential calculus, covering continuous functions, limits, differentiability, and tangent planes.

Advanced Analysis: Differential Equations Overview

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.

Examples: Function Spaces MOOC: Linear Algebra (Part 2)

Covers various examples of function spaces and linear applications between them.

Rolle's Theorem MOOC: Analysis I MOOC: Analysis I (part 5): Continuous and derivable functions, the derivative function

Explores Rolle's Theorem for continuous and differentiable functions on closed intervals.

Analysis I Exam Solutions

Provides solutions to an Analysis I exam, covering various topics.

Differentiability: Partial Derivatives and Hessiennes Log in to Mediaspace to watch this video

Explains partial derivatives, Hessienne matrix, and their properties.

Continuous Functions and Derivatives Log in to Mediaspace to watch this video

Covers the definitions of continuous functions and derivatives, emphasizing the concept of functions being continuous at a point and the notion of derivatives.

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