Haw.y If the directionl derivative Valne ( Du f) of the function flx,4) = x-3xy +uy 4t Paint (-2,0) în direction a unit vectur (u=Ai+Bjis paint (3,2) in the Same direction is 26. Vector (u) then find Value of the diYectional derivative (Duf) in the direction of the unit Vector (u) af the Peint X of 2 and its Vatue at find the unit
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- 2. Find the directional derivative of 9 = yx? +x?z + 3xyz in the direction of vector n = Î + 2ŷ -? .Evaluate the directional derivative Duf (2, 3) if ƒ (x,y) and T2 - y u is the unit vector in the same direction as (-3, 4).2. (4 points) Compute the directional derivative of f at the given point in the direction of the given vector: f(x, y) = In(3+ 2a? + y?), P(2,1), ū = (-3, 4)
- Calculate the directional derivative of g(x, y, z) = z² - xy + 4y2 in the direction v = (1,-4, 3) at the point P = (3, 1, -9). Remember to use a unit vector in directional derivative computation. (Use symbolic notation and fractions where needed.) Dvg(3, 1,-9) =Find the directional derivative of g(a, b) = cos(3a + 4b) at the π point ( along the direction of the vector (-4,-3)Compute the directional derivative of g(x,y)=sin(pi(5x-5y)) at point P(1,-3) in the direction (15/17, 8/17). Be sure to use a unit vector for the direction vector.
- Find the directional derivative of the function f(x, y, z) = Vx² + y² + z² at point (2,-3, 6) in the direction of the vector v 4i - 3k. %3DCompute the directional derivative of the function goxy)=sin(x(3x - 4y)) at the point P(1.-3) in the direction (5) Be sure to use a unit vector for the direction vector The directional derivative in (Type an exact answer, using x as needed) HERES6. (a) Find the directional derivative of w = x²y² at the point (1, -3) in the direc- 5T 5T tion of the unit vector u = cos i+sinj. (b) What is the maximum value of the directional derivative of w = ²y at (1,-3) and it what direction is it attained? Q Search A
- 3 If f(x, y) = x³ + y² − 1, then the directional - derivative at the point (-1,2) in the direction of the unit vectoru = 7 is 3. Select one: True O Falsefind the directional derivative of the function in the direction of the vector vFind the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 1, 1) in the direction of the vector √5 (Use symbolic notation and fractions where needed.) directional derivative: + 2 √5