Differentiability and Tangent Planes

Related lectures (28)

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Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

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

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

Explores derivability, continuity, and composite functions with illustrative examples.

Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.

Explores directional derivatives in two-variable functions and extremum points.

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

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

Explores directional derivatives, showcasing scenarios where they exist but the function is not differentiable.

Explains the concept of directional derivatives and their applications in differentiating functions.