Calculus - Directional Derivative

Related BrainMass Solutions

• Directional derivatives

  25686 Multivariable calculus Consider the function : f(x,y) = x(x-1)(x-2) + (y-1)(x-y) [QUESTION 1]find the maximum and the minim values of the directional derivative (df/ds)]u at ( 1 , 3/2 ) as u varies .

• Multiple Variable Calculus

  This solution has detailed explanations of questions on finding local maxima, minima or saddle points of functions of two variables, directional derivative and gradient vector.

• Multivariable calculus

  The direction of -grad g(x,y,z) is the direction with the minimal directional derivative.

• 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

• Directional derivative

  This provides an example of finding a directional derivative.

• Directional derivative

  13784 Directional derivative functions Find the directional derivative of f at P in the direction of v; that is find D_u f(P), where u=v/{v}: f(x, y, z)= ln(1 + x^2 +y^2 - z^2) ; P(1, -1, 1), v=2i - 2j -3k The directional

• 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!