Derivatives and Tangent Planes

Related lectures (36)

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

Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.

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

Explains partial and directional derivatives, and functions' derivability.

Explores the fundamental principle of the recurrence method and differential calculus of functions of several variables.

Explores the properties and methods of differentiable functions, including strong recurrence and demonstration techniques.

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

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

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

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

Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.

Explains partial derivatives, Hessienne matrix, and their properties.

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

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

Explores differentiability in two variables and the chain rule for compositions.

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

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Explains differentiability in multivariable functions and the geometric interpretation of tangent planes.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Covers the concept of partial derivatives of higher order and their applications in various contexts.

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