Implicit Functions and Taylor Polynomials

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Related lectures (25)

Taylor Polynomial: Order 2

Presents the solution to finding the second-order Taylor polynomial of a function.

Taylor Polynomial: Order, Development, and Limits

Explores Taylor polynomials, including order, development, limits, and algebraic operations.

Taylor Polynomial: Order 2

Explores Taylor polynomials of order 2 and their applications in differential calculus and polar coordinates.

Taylor Series: Basics

Covers Taylor series, polynomial approximations for function behavior, coefficient finding, and error estimation.

Taylor Polynomials: Definition and Approximation

Covers Taylor polynomials for function approximation and their properties, with examples.

Taylor Polynomials and Function Properties

Covers Taylor polynomials, function properties, double integrals, partial derivatives, and function boundaries.

Developing Limit Concepts

Explores developing limits using Taylor series for function approximations and understanding functions with derivatives approaching zero.

Derivatives of Functions MOOC: Warm-up for EPFL

Introduces derivatives, composition of functions, Taylor expansion, velocity, acceleration, and temporal derivative notation in physics.

Taylor's Formula: Developments and Extrema

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

Derivatives and Trigonometry Fundamentals MOOC: Warm-up for EPFL

Introduces derivatives, trigonometry, and motion principles through basic and trigonometric functions differentiation.

Functions n+1 Derivatives MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Covers the concept of functions being n+1 times differentiable and the Taylor formula.

Taylor Polynomials: Approximating Functions in Multiple Variables Log in to Mediaspace to watch this video

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Implicit Functions Theorem Log in to Mediaspace to watch this video

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

Functions and Derivatives Log in to Mediaspace to watch this video

Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.

Taylor Polynomials: Calculating Limits and Derivatives Log in to Mediaspace to watch this video

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Differentiable Functions: Derivatives and Approximations Log in to Mediaspace to watch this video

Explores derivatives, Hessians, and Taylor approximations for differentiable functions.

Differential Equations: Implicit Solutions Log in to Mediaspace to watch this video

Explores implicit solutions for differential equations and their applications in different scenarios.

Taylor Polynomials and Approximations Log in to Mediaspace to watch this video

Explores Taylor polynomials and approximations for various functions, emphasizing derivative equality and polynomial development around a specific point.

Taylor Development: Higher Derivatives Log in to Mediaspace to watch this video

Covers the calculation of Taylor polynomials, higher derivatives, and Taylor series using examples.

Taylor Polynomials: Correction Exam 2018 Log in to Mediaspace to watch this video

Covers the correction of an exam from 2018, focusing on Taylor polynomials and Jacobian matrices.

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