Math 2.0

concept

Directional derivative

Summary

The directional derivative of a function ff at a point aa in the direction of a vector vv is a rate of change. It is the rate of change of ff when its input moves from aa along vv. It is the derivative at t=0t = 0 of the function t↦f(a+tv)t \mapsto f(a + t v) of one variable. The partial derivatives are the directional derivatives along the standard basis vectors.

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  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptFunction of several variables, concept, no evidence levelFunction of several v…conceptPartial derivative, concept, no evidence levelPartial derivativeconceptDirectional derivative, concept, no evidence levelDirectional derivativeconcept
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  1. Euclidean space object
  2. Function concept
  3. Function of several variables concept
  4. Partial derivative concept
  5. Directional derivative concept

Sources

  1. Web https://en.wikipedia.org/wiki/Directional_derivative, lead section

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Definitions