Directional derivative

Related BrainMass Solutions

• Directional Derivative and Tangent Vector

  If function f on Rn is such that the directional derivative of f by every tangent vector at every point vanishes, then f is constant. The directional derivative of the product of two functions product of their directional derivatives.

• Finding Directional Derivatives

  grad f = = Unit vector The directional derivative for f at the point in the direction of u = At x = 0, y = -/6, z =  Directional derivative = The expert determines what the directional derivatives of a point in a parallel direction

• Calculus - Directional Derivative

  This is an example of finding a directional derivative.

• Directional derivative

  This provides an example of finding a directional derivative.

• Directional Derivative and Maximum Rate of Increase

  54357 Directional Derivative and Maximum Rate of Increase Find the directional derivative of the function f(x,y)=3x2-y2+5xy at the point P(2,-1) in the direction of a=(-3i-4j). Also find the maximum rate of increase of f(x,y) at P.

• Directional Derivative

  18496 Directional Derivative Find the directional derivative of f(x,y) = 2x^3-y^2+xy at the point (1,2) in the direction of the vector (1,3). Be careful: That direction vector isn't a unit vector!

• Directional Derivatives

  71750 Directional Derivatives Consider the function f(x,y,z) = (e^z)ln(x^2 + y^2) a) Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector.

• Directional Derivative

  166952 Finding the Directional Derivative: Example Problem Find the directional derivative of the function at a given point P in the direction of the vector V: f(x,y,z)= square root of xyz P(2,4,2) V=(4,2,-4) and f(x,y,z)= z^3 - (x^2)(y)

• direction derivative

  274986 Directional derivative Let f(x) = e^(x+y+3z a.) Find the directional derivative at P(-2,2,-1) in the direction of Q(18,-2,4) b.) Find the direction of maximum decrease at P. (your answer does not have to be unit vector.)