Directional Derivative of a Multivariate Function - Maple Help

Directional Derivative of a Multivariate Function

 Description Determine the directional derivative  of a multivariate function at a specified point in a specified direction.

Enter the function as an expression.

 > ${3}{+}{x}{y}{+}{2}{x}{{y}}^{{2}}$
 ${3}{+}{x}{}{y}{+}{2}{}{x}{}{{y}}^{{2}}$ (1)

Specify a point.

 > $\left[{-1}{,}{3}\right]$
 $\left[{-}{1}{,}{3}\right]$ (2)

Specify a direction vector.

 > $\left[{2}{,}{1}\right]$
 $\left[{2}{,}{1}\right]$ (3)

Compute the directional derivative.

 > $\mathrm{Student}\left[\mathrm{MultivariateCalculus}\right]\left[\mathrm{DirectionalDerivative}\right]\left(,\left[x,y\right]=,\right)$
 $\frac{{29}}{{5}}{}\sqrt{{5}}$ (4)

Alternatively, you can use the Directional Derivatives tutor, a point-and-click interface. There are two ways to launch this tutor.

 • From the Tools menu, select Tutors, Calculus - Multivariate, and then Directional Derivatives.
 • Enter the multivariate function to be differentiated, then click the following Directional Derivatives button.
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 Commands Used