Directional derivative

Related lectures (32)

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Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.

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.

Covers the exponential map, covariant derivatives, connection coefficients, and Riemann curvature tensor.

Covers the Maxwell field, symmetries, and making shifts in local and covariant derivatives.

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

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

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Explores the geometric interpretation of derivatives and properties of derivable functions.

Explores covariant derivatives along curves and second-order optimality conditions in vector fields and manifolds.