Purchase Solution

Directional Derivative

Not what you're looking for?

Ask Custom Question

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!

Purchase this Solution
Solution Summary

Gradients are used to find a directional vector. The solution is well presented.

Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

View More Free Quizzes
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

    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 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.)

View More Related Solutions