Compute the directional derivative of fat the given point in the direction of the indicated vector. f(x, y) = ³x²-y, (1, 3), u in the direction of -2i- j Duf(1,3)=
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- Find 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 g(a, b) = cos(3a + 4b) at the π point ( along the direction of the vector (-4,-3)Find the derivative of the vector functionr(t)=ta×(b+tc) wherea=⟨−4,−3,5⟩ b=⟨−1,2,5⟩ and c=⟨−3,−2,−3⟩
- Compute the directional derivative of g(x,y)=sin(pi(5x-5y)) at point P(1,-3) in the direction (15/17, 8/17). Be sure to use a unit vector for the direction vector.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.Compute the directional derivative of the function g(x,y) = sin((5x - 4y)) at the point P(3,3) in the direction vector. The directional derivative is (Type an exact answer, using as needed.) C Be sure to use a unit vector for the direction
- Find the directional derivative of the function at P in the direction of v. ) = x³ - y³, P(8, 5), v = V2 (i + j) 2find the directional derivative of the function in the direction of the vector vSuppose 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 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 + 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) =Consider the function defined by f(x,y) = 4xy - 2x2. Evaluate the directional derivative of f at point(1,-1) in direction of the vector which subtends an angle of pi/6 with the positive x-axis.