Question

let f(x,y) = xe^(xy) Find the directional derivative of f at point (2,0) in the direction...

let f(x,y) = xe^(xy)
Find the directional derivative of f at point (2,0) in the direction of vector <-6,8>. Find the maximum rate of change of f at point (2,0) and the direction in which it occurs.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the directional derivative of the function f(x,y)=x^6+y^3/(x+y+6 ) at the point (2,-2) in the direction...
Find the directional derivative of the function f(x,y)=x^6+y^3/(x+y+6 ) at the point (2,-2) in the direction of the vector < - 2 ,2>. b) Also find the maximum rate of change of f at the given point and the unit vector of the direction in which the maximum occurs.
1. Let f(x, y) = 2x + xy^2 , x, y ∈ R. (a) Find the...
1. Let f(x, y) = 2x + xy^2 , x, y ∈ R. (a) Find the directional derivative Duf of f at the point (1, 2) in the direction of the vector →v = 3→i + 4→j . (b) Find the maximum directional derivative of f and a unit vector corresponding to the maximum directional derivative at the point (1, 2). (c) Find the minimum directional derivative and a unit vector in the direction of maximal decrease at the point...
Find the directional derivative of the function  f (x, y) = tan−1(xy)   at the point (1, ...
Find the directional derivative of the function  f (x, y) = tan−1(xy)   at the point (1, 3) in the direction of the unit vector parallel to the vector v = 4i + j.
Let  f (x, y) = xe xy. Find the maximum rate of change of  f  at...
Let  f (x, y) = xe xy. Find the maximum rate of change of  f  at the point (3, -2).
find the directional derivative of f(x, y, z) = xy arctan (z) at the point (1,...
find the directional derivative of f(x, y, z) = xy arctan (z) at the point (1, 1, pi/4) in the direction <1, -1, 2>.
Suppose that f(x,y)=xy. Find the directional derivative of f(x,y) in the directional 〈−6,3〉 and at the...
Suppose that f(x,y)=xy. Find the directional derivative of f(x,y) in the directional 〈−6,3〉 and at the point (x,y)=(1,−4). Answer exactly or round to 2 decimal places.
Find the directional derivative of f at the given point in the direction indicated by the...
Find the directional derivative of f at the given point in the direction indicated by the angle θ. f(x, y) = y cos(xy),    (0, 1),    θ = π/4
For the function f(x, y)=ln(1+xy) a.Find the value of the directional derivative of f at the...
For the function f(x, y)=ln(1+xy) a.Find the value of the directional derivative of f at the point (-1, -2) in the direction <3,4>. b.Find the unit vector that gives the direction of steepest increase of f at the point (2,3).
a) evaluate the directional derivative of z=F(x,y) = sin(xy) in the direction of u=(1,-1) at the...
a) evaluate the directional derivative of z=F(x,y) = sin(xy) in the direction of u=(1,-1) at the point (0,pi/2) b) Determine the slope of the tangent line c) State the tangent vector
. For the function f(x, y) = xye^x−y , at the point (2, 2) (a) find...
. For the function f(x, y) = xye^x−y , at the point (2, 2) (a) find the gradient. (b) find the directional derivative in the direction of the vector 3i − j. (c) in the direction of which unit vector is the rate of increase maximum? What is the maximum rate of increase? (d) in the direction of which unit vector(s) is the directional derivative zero?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT