English, asked by jasvirshoaib, 6 months ago

physical significance of the directional derivatives​

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Answered by taesha43
2

Answer:

In mathematics, the directional derivative of a multivariate differentiable function along a given vector v at a given point x intuitively represents the instantaneous rate of change of the function, moving through x with a velocity specified by v. It therefore generalizes the notion of a partial derivative, in which the rate of change is taken along one of the curvilinear coordinate curves, all other coordinates being constant.

The directional derivative is a special case of the Gateaux derivative.

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