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- Find the directional derivative of f (x, y, z) = 2z²x + y° at the point (2, 1, 2) in the direction of the vector 1 2 i+ (Use symbolic notation and fractions where needed.) directional derivative:Find the directional derivative of g(a, b) = cos(3a + 4b) at the π point ( along the direction of the vector (-4,-3)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. %3D
- 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 at the given point in the direction of the vector v. f(x, y) = 7ex sin(y), (0, ?/3), v = (-3,4)Find 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 the function f(x, y) = ln (x² + y³) at the point (-1,3) in the direction of the vector (3, 2) Submit Questionf(x, 3) In(x2 + Yof function P(3, 4) at the point of = (9, 12) Directional derivative in the direction of the vector to you.consider the function f(x, y) = esin(@) y Find the directional derivative of f at the point (, 1) in the direction of (V3, –1) the vector v =
- Calculate the directional derivative of g(x, y, z) = x ln (y + z) in the direction v = = 5i − 6j + 6k at the point P = (4, e, e). Remember to use a unit vector in directional derivative computation. (Use symbolic notation and fractions where needed.) Dvg(4, e, e) =Find the directional derivative of the function: f(x, y) z² + 4y at the point (0, 0) in the direction of the vector (– 3, 1). You may enter your answer as an expression or as a decimal with at least 4 significant figures. |= Calculate the directional derivative of g(x, y, z) z² - xy + 3y² in the direction v = (1, -6,4) at the point P = (2, 1, −3). Remember to use a unit vector in directional derivative computation. (Use symbolic notation and fractions where needed.) Dvg(2, 1, -3) =