Find the directional derivative of the function at the given point in the direction of the vector v. g(u, v) = u²ev, (3, 0), v = 3i + 4j Dvg(3, 0) =
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- Find the directional derivative of the function at the given point in the direction of vector v. f(x, y) = 2 + 6x√y, (4, 16), v = (4, -3) Duf(4,16) =Calculate the directional derivative of g(x, y, z) = z² - xy + 4y² in the direction v = (1, -6,4) at the point P = (2, 1, −8). Remember to use a unit vector in directional derivative computation. (Use symbolic notation and fractions where needed.) Dvg(2, 1,-8)=Find the directional derivative of f(x,y) = x² + y² – 2x – 4y at the point (-2,3) in the direction of the vector w = 3i – 4j. 1. - 2. - 3. -4 4. – 5. -
- Find the directional derivative of the function at the given point in the direction of vector v. f(x, y) = 3 + 6x√y, (3, 4), v=(4, -3) D₁f(3, 4) = 6 XFind the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = Vxyz, (4, 2, 8), v = (-1, -2, 2) Duf(4, 2, 8) =Find the directional derivative, Dчf, of the function at the given point in the direction of vector v. f(x, y) =2ln(x²+y²), (2, 3), v = Duf(2, 3) =