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 al...
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http://en.wikipedia.org/wiki/Directional_derivative
The limit (when it exists) of the rate of change along a specified direction, say h: f(x+th) - f(x) lim --------------. t-->0+ t In particular, the i-th partial derivative is with h=e_i. (Note that the directional derivative, as defined above, depends on the scale: the derivative for kh is k times the derivative for h. To avoid scale dependenc...
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http://glossary.computing.society.informs.org/index.php?page=D.html
the limit, as a function of several variables moving along a given line from one specified point to another on the line, of the difference in the functional values at the two points divided by the distance between the points.
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https://www.infoplease.com/dictionary/directional-derivative
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