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- Find the directional derivative of f(x,y,z) = z3-x2y at the point (4, -3, 4) in the direction of the vector v = <-1,-3,-2>.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. %3DFind the directional derivative of the function f(x, y) = In(x +y°) at the point (2, 3) in the direction of the vector (- 3, 3)
- Find the directional derivative of f(x, y, z)=z³x²y at the point (3, 5, 3) in the direction of the vector v = (-4,4,-4).Find the directional derivative of the function f(x, y, z) = x² - y +2z at the point P(1,2,3) in the direction of the vector 4i-2j+k.Determine the directional derivative of the function f (x, y, z) = x2 + xy + y + z2 in point P = (1; 2; 1) and in the direction of a vector orthogonal to the surface 2x2 - 3y2 - z + 1 = 0 in the point A = (2,1,6)
- Find 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 √5Find the directional derivative of the function f(x, y) = 1+5x/ at the point (5, 1) in the direction of the vector 7 =.Find the directional derivative of f(x,y,z)=xe'+ye² at (0,0,0) in the direction of the vector (-29,2,-17).
- Find the directional derivative of f(x, y, z) Prev x'y at the point (-5, 1, 1) in the direction of the vector v = (1, -3, 4).Find the directional derivative of f(x, y, z) = 2 – x'y at the point (2, 1, -3) in the direction of the vector v = (-2, 2, 2).Find the directional derivative of f(x, y, z) = yz + x³ at the point (2, 3, 1) in the direction of a vector making an angle of with Vƒ(2, 3, 1). f(2, 3, 1) =