Tangent Planes and Derivatives

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

Explores differentiability in functions and tangent planes to surfaces.

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

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

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

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

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.

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

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