Linked from

The 24 pages that link to Directional derivative, each with the reason it gives.

• GradientRelated: The gradient’s dot product with a direction vector gives this rate of change.

• Lagrange multiplierRelated: Constrained optimality concerns changes along directions allowed by the constraint.

• Tangent spaceRelated: Tangent vectors can be defined by how they differentiate smooth functions.

• Scalar fieldRelated: It measures how the field changes along a specified direction.

• Covariant derivativeRelated: Covariant differentiation generalizes directional differentiation from scalar functions to geometric fields.

• Gradient descentRelated: The negative gradient selects a direction of local decrease.

• DifferentiabilityRelated: Existence in every direction is weaker than full differentiability in several variables.

• Vector calculusRelated: The gradient gives every directional derivative through a dot product.

• Total derivativeRelated: A total derivative along a parameterized path is a directional rate of change.

• Unit sphereRelated: Directions of unit length are points on the unit sphere, making comparisons independent of scale.

• Function of several real variablesRelated: It measures local change beyond the coordinate directions used by partial derivatives.

• Interior extremum theoremRelated: At an interior extremum, opposite directional changes force every directional derivative to vanish.