Question

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〉.

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 value of the directional derivative of the function w = f ( x ,...
Find the value of the directional derivative of the function w = f ( x , y , z ) = 2 x y + 3 y z - 4 x z in the direction of the vector   v = < 1 , -1 , 1 > at the point P ( 1 , 1 , 1 ) .
Find directional derivative of the function f(x, y, z) = 5x2 + 2xy – 3y2z at...
Find directional derivative of the function f(x, y, z) = 5x2 + 2xy – 3y2z at P(1, 0, 1) in the direction v = i + j – k .
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→.
Find the directional derivative of the function at the given point in the direction of the...
Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = x2y + y2z, (2, 7, 9), v = (2, −1, 2) Dvf(2, 7, 9) =
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)=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.
Find the directional derivative of the function at P in the direction of v. f(x, y)...
Find the directional derivative of the function at P in the direction of v. f(x, y) = x3 − y3, P(8, 5), v = 2 2 (i + j)
Find the directional derivative of the function at the given point in the direction of the...
Find the directional derivative of the function at the given point in the direction of the vector v. f(x,y,z)= x2y3+2xz+yz3 (-2,1,-1) v= <1,-2,2> Use the chain rule to find dz/dt. z=sin(x,y) x= scos(t) y=2t+s3
f(x,y,z) = xey+z. (a) Find the gradient of f, ∇f. (b) Find the directional derivative of...
f(x,y,z) = xey+z. (a) Find the gradient of f, ∇f. (b) Find the directional derivative of f at the point (2, 1, 2) in the direction of ? = 3? + 4?.