Question

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

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 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>.
16. a. Find the directional derivative of f (x, y) = xy at P0 = (1,...
16. a. Find the directional derivative of f (x, y) = xy at P0 = (1, 2) in the direction of v = 〈3, 4〉. b. Find the equation of the tangent plane to the level surface xy2 + y3z4 = 2 at the point (1, 1, 1). c. Determine all critical points of the function f(x,y)=y3 +3x2y−6x2 −6y2 +2.
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).
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.
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.
Find the directional derivative of the function f(x, y, z) = 4xy + xy3z − x...
Find the directional derivative of the function f(x, y, z) = 4xy + xy3z − x z at the point P = (2, 0, −1) in the direction of the vector v = 〈2, 9, −6〉.
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,z)=ln(x2+y2−1)+y+6z at the point (1,1,0) in the direction of...
Find the directional derivative of the function f(x,y,z)=ln(x2+y2−1)+y+6z at the point (1,1,0) in the direction of the vector v→=i→−2j→+2k→
Find the directional derivative of the function f(x,y,z)=ln(x2+y2−1)+y+6z at the point (1,1,0) in the direction of...
Find the directional derivative of the function f(x,y,z)=ln(x2+y2−1)+y+6z at the point (1,1,0) in the direction of the vector v→=i→−2j→+2k→.
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT