KnowraDirectional derivativeLinked fromLinked fromThe 24 pages that link to Directional derivative, each with the reason it gives.All 24Broader topic 2Related 12Compared with 10Partial derivativeCompared with: A general direction can combine coordinate changes instead of varying one coordinate alone.DivergenceCompared with: It measures change along one direction, not net flow across all directions.LaplacianCompared with: Unlike a single directional rate, the Laplacian combines second-order change across directions.Affine connectionCompared with: Unlike ordinary directional differentiation, a connection compares tangent vectors at different manifold points.Complex differentiabilityCompared with: Existence in individual directions does not ensure one direction-independent complex difference-quotient limit.Fréchet derivativeCompared with: Directional derivatives can exist in every direction without forming a Fréchet derivative.Complex derivativeCompared with: A complex derivative must agree with the difference-quotient limit along every direction.Differentiable functionCompared with: Existence in every direction does not by itself guarantee a linear derivative.Second derivativeCompared with: A directional derivative is first-order change, whereas the Hessian captures second-order change.Symmetry of second derivativesCompared with: Directional derivatives concern chosen directions, not interchange of coordinate differentiation orders.