Math 2.0

Real functions Functions of several real variables Concept

Directional derivative

Builds on Partial 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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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

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8 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Directional_derivative, lead section
About this page
Tag06KWGHDN2J
URIm2://06KWGHDN2J
Aliasesgateaux-derivative-in-a-direction, line-derivative
Kindconcept
WritingW1 stated
MSC26B05
UsesPartial derivative
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