f(x, 3) = In(x? + Y²òf function P(3,4) at the point of i = (9, 12) Directional derivative in the direction of the vector to you.
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- 4 Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in thedirectiona. of vector v =<4,3> and toward the origin.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 a unit vector tangent to the curve of intersection of -x^2 - 2y^3 = z - 3 and 25/x2 - 4y - 3z^2 = - x + 6 at the point (1,1,0).
- Find a vector equation for the tangent line to the curve of intersection of the cylinders x2+y2=25 and y2+z2=20 at the point (3, 4, 2).Find the directional derivative of the function at the given point in the direction of the vector v. f(x,y) = x/(x^2+y^2), (1,2), v = <3,5>Suppose ƒ is differentiable at (9, 9), ∇ƒ(9, 9) = ⟨3, 1⟩, and w = (1, -1). Compute the directional derivative of ƒ at ⟨9, 9⟩ in the direction of the vector w.
- Find the directional derivative of F(x , y , z)=7y2e−x+3z2 in the direction u=(3,6,−2) at the point (0,1,7) correctly.Find the directional derivative of f(x,y,z)=yz+x^4 at the point (1,3,2) in the direction of a vector making an angle of 5π/6 with ∇f(1,3,2).Evaluate along the curve y=x2 from (-1,1) to (2,4). First find the vector valued function r(t) defining the curve.
- Find the directional derivative of f(x,y,z)=z^3−x^2y at the point (-1, 1, -4) in the direction of the vector v=⟨5,−3,3⟩Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = x2y + y2z, (2, 5, 8), v = (2, −1, 2)Find the directional derivative of the function at the given point in the direction of the vector v. h(r, s, t) = ln(3r + 6s + 9t), (1, 1, 1), v = 6i + 18j + 9k Dvh(1, 1, 1)=? Please Help Thank you