Derivatives and Chain Rule

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Related lectures (53)

Higher Derivatives, Taylor Introduction Log in to Mediaspace to watch this video

Introduces higher derivatives and the Taylor development, illustrating examples and discussing the uniqueness of the Taylor polynomial.

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

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

Differentiability and Tangent Planes Log in to Mediaspace to watch this video

Covers differentiability in multivariable functions, focusing on tangent planes and their properties.

Implicit functions theorem Log in to Mediaspace to watch this video

Explores the implicit functions theorem, showcasing examples of implicit differentiation and function definition.

Advanced analysis II Log in to Mediaspace to watch this video

Explores derivatives of higher orders and partial derivatives, emphasizing the importance of understanding recursive concepts in advanced analysis.

Solutions to QCM 1-3 Log in to Mediaspace to watch this video

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

Distribution Interpolation Spaces Log in to Mediaspace to watch this video

Explores distribution interpolation spaces, convergence of sequences, derivatives, weak derivatives, and their applications in minimization problems.

Differential Operators: Notation and Terminology Log in to Mediaspace to watch this video

Covers the basics of differential operators and derivatives for n-tuples and vector fields.

Approximation of Functions Log in to Mediaspace to watch this video

Covers the approximation of functions using tangent lines and derivatives.

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

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

Fourier Transform: Derivatives and Formulas Log in to Mediaspace to watch this video

Explores Fourier transform properties with derivatives, crucial for solving equations, and introduces the Laplace transform for signal transformation.

Partial Derivatives: Definitions and Interpretations Log in to Mediaspace to watch this video

Explores partial derivatives, their interpretations, and geometric applications in multivariable functions.

Curl of Vector Field and Path Integrals Log in to Mediaspace to watch this video

Explores the curl of a vector field and the calculation of path integrals in Cartesian coordinates.

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