Derivatives: A Brief History

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Related lectures (54)

Partial Derivatives: Derivability Log in to Mediaspace to watch this video

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

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

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Derivatives and Continuity in Multivariable Functions Log in to Mediaspace to watch this video

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

Implicit Differentiation: Basics Log in to Mediaspace to watch this video

Covers the basics of implicit differentiation, focusing on techniques and applications.

Derivatives and Differential Equations Log in to Mediaspace to watch this video

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

Introduction to Derivatives Log in to Mediaspace to watch this video

Introduces derivatives, hedging, speculation, and engineering payoffs through trading and pricing.

Advanced Analysis II: Differentiability and Continuity Log in to Mediaspace to watch this video

Explores differentiability and continuity in advanced analysis with examples and counterexamples.

Differentiability and Derivatives Log in to Mediaspace to watch this video

Covers differentiability, derivatives, composite functions, linear approximation, and partial derivatives.

Differentiation and Coordinate Changes in Multivariable Functions Log in to Mediaspace to watch this video

Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.

Integration by Substitution Log in to Mediaspace to watch this video

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

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.

Mathematical Notations and Functions in General Physics Log in to Mediaspace to watch this video

Introduces mathematical notations and functions essential for general physics.

The Increment Theorem: Understanding Derivatives Log in to Mediaspace to watch this video

Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.

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.

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

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

Differential Functions and Tangent Plan Log in to Mediaspace to watch this video

Covers differentiable functions, derivatives, and tangent planes in mathematics.

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.

Computing Derivatives: Derivatives and Algebraic Operations Log in to Mediaspace to watch this video

Covers the computation of derivatives and the properties of differentiable functions.

Partial Derivatives and Gradient Log in to Mediaspace to watch this video

Covers the definitions and properties of partial derivatives and gradients in mathematical contexts.

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