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>
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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
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- Find the derivative of the vector functionr(t)=ta×(b+tc) wherea=⟨−4,−3,5⟩ b=⟨−1,2,5⟩ and c=⟨−3,−2,−3⟩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) =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).
- Find the derivative of the vector function r(t) tax (btc), where a = (2, -5,-2), b = (4, 2,-5), and c = (3,-2,-2). r' (t) = (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 in the direction of the vector v
- Suppose that f(x, y) = x³y². Find the directional derivative of f(x, y) in the direction of (-3, 1) at the point (-2,2). Note that the direction is not a unit vector.Find the directional derivative of f(x, y, z) = 23x²y at the point (5, -5, 5) in the direction of the vector v = (3,4,-2).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)
- f(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.Find the directional derivative of the function f(x, y) = xy at the point (x, y) = (4, -1) in the direction of the vector 7= 7+ 5j. Dif(4,-1) =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 √5