What is Directional derivative: Definition and 102 Discussions
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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The directional derivative is a special case of the Gateaux derivative.
View More On Wikipedia.org
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Directional derivative - conventions
"directional derivative" - conventions Warning: nitpicking notational issues ahead! :eek: So the "directional derivative" in vector analysis - the differential rate of increase of a scalar function φ in a vector direction - is by convention* defined starting from the vector gradient (the...- rachmaninoff
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- Forum: Calculus
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Is the Use of h Confusing in the Directional Derivative Proof?
Im reading over about the directional derivative. Stewart, page 800 says: "Proof: If we define a function g of the single variable h by g(h) = f(x_0 + ha, y_0 + hb) then by the definition of a derivative we have g'(0)= lim_{h \rightarrow 0} \frac{g(h) - g(0)}{h} = lim_{h...