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Vector Calculus
Angle, Cross, Curl, Divergence, Dot, Duf, Gradient, Hessian, Jacobian, Laplacian, Norm, SurfaceNormal

Algebra
Apart, Coefficient, Degree, Denominator, Divisors, DivisorSigma, Eval, Expand, Factor, GCD, LCM, PolyDivide, PolyFit, PolyGCD, PolyLCM, PowerExpand, Quotient, Remainder, Sequence, SimplifyPoly, Solve, SolveSystem, Together

Basic
Abs, Arg, Conj, Exp, Hyperbolic Functions, Im, Ln, Log, Re, Trigonometric Functions

Calculus
D, Diff, DSolve, fDiff, FourierCos, FourierSeries, FourierSin, iDiff, iLaplace, Integrate, Laplace, Limit, NIntegrate, pDiff, Product, Series, Sum

CAS
Append, Call, Caps, Char, Choose, Clear, Command, Date, Delete, Extract, Function, Insert, IsList, IsMatrix, IsNumber, IsPoly, Left, Length, List, Matrix, Part, Replace, Reshape, Reverse, Right, Size, Sort, String, Value, Variables

Data
Constant, Finance, HRStoHMS, LoadList, LoadMatrix, Table

Elementary
Binomial, Ceil, Eulerian, Factorial, Floor, fPart, iPart, Mod, Multinomial, nCr, nPr, nRoot, Pochhammer, Round, Sign, Sqrt

Graphing
clip, FullRectSineWave, HalfRectSineWave, SawToothWave, SquareWave, StaircaseWave, TriangleWave

Manual
Code Files, Commands, Creating Scripts, Entering Expressions, Graphing Equations, Include Folder, Lists, Matrices, Strings, Symbols, Time Graphing

Matrix
Cholesky, coFactor, Det, Eigenvalues, Eigenvectors, Identity, Inverse, LUDecomposition, QR, RowReduce, SVD, Transpose

Number
AlternatingSeries, Catalan, cFrac, Convergents, IsPrime, LegendreP, nFactors, nPrimes, Pi_Digits, Random

Plot
BodePlot, ContourPlot, CylindricalPlot3D, FractalPlot, ImagePlot, ImplicitPlot, JuliaPlot, ListPlot, ListPlot3D, MultiPlot, MultiPlot3D, ParametricPlot, ParametricPlot3D, Plot, Plot3D, PolarPlot, SphericalPlot3D, VectorPlot, VectorPlot3D

Scripting
Animate, CheckBox, Draw, DrawColor, DrawWindow, Else If, Error, If, Include, Loop, Message, Scroll, Trace, While

Special
AiryAi, AiryBi, BesselI, BesselJ, BesselK, BesselY, Beta, Chi, Ci, Dawson, DiGamma, DiLog, Dirichlet_Eta, Dirichlet_Lambda, Ei, Erf, Erfc, FresnelCos, FresnelSin, Gamma, Gudermannian, HankelH1, HankelH2, Harmonic, Hypergeom_2F1, invGudermannian, KelvinBei, KelvinBer, KelvinKei, KelvinKer, LambertW, Li, LnGamma, PolyGamma, PolyLog, Psi, RK4, RK45, Shi, Si, Zeta

Special Polynomials
Bernoulli, ChebyshevT, ChebyshevU, Euler, Fibonacci, GegenbauerC, HermiteH, LaguerreL, LegendreQ, Lucas

Statistical
BinomialCDF, BinomialPDF, ChiSquareCDF, ChiSquarePDF, Fcdf, Fpdf, GeoCDF, GeoPDF, InverseNormal, Max, Mean, Min, NormalCDF, NormalPDF, PoissonCDF, PoissonPDF, StandardDeviation, StudentTCDF, StudentTPDF, Variance

Trigonometric
DEGtoDMS, ExpConvert, TrigCollect, TrigConvert, TrigExpand, TrigReduce
  
Duf(function, [varlist], [point], [direction])
[varlist]
If no value is given the default value is [x,y,z].

[point]
If given the directional derivative is calculated at that point. If not, then [x, y, z] is used.

[direction]
If given the derivative is calculated at the given point in the direction of the given vector. If no direction is given the vector [1, 1, 1] is assumed.

Calculates the directional derivative of a given function.

Examples  







References
http://mathworld.wolfram.com/DirectionalDerivative.html
http://en.wikipedia.org/wiki/Directional_derivative



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