Differentiability and Tangent Planes

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

Explores directional derivatives, tangent planes, and normal vectors in surfaces.

Explores conditions for non-differentiability in multivariable calculus and the implications of the differentiability theorem.

Explores tangent planes, implicit functions, and directional derivatives in relation to graphs of functions.

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

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

Explores partial derivatives, gradient, directional derivatives, and differentiability in determining slopes.

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

Explores directional derivatives, tangent planes, and function differentiability in multivariable calculus.

Covers directional derivative, differentiability, and gradient matrices, emphasizing the first order.