Calculate the directional derivative of f(x, y) = x²y in the direction of v = −3i+2j at the point P = (1, 1). Remember to normalize the direction vector. Duf(1, 1) 4.
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- Calculate the directional derivative in the direction of vat the given point. (Remember to normalize the direction vector.) F(x, y) = x² + y³, v = (5, 6), P = (3,2).Calculate the directional derivative of f(x, y) = x³ y³ in the direction of v = 2i + 2j at the point P = (–1, −1). Remember to normalize the direction vector. Du f(-1,-1) =The directional derivative of the functionf (x, y) = -y³ at the point (-3, –2) in the direction of the vector i = (-4, –3).
- Find the directional derivative of the function at the given point in the direction of the vector v.. f(x,v) = e3xV – y?, (0,- 1), v= (2,3) -5 а. V5 7 b. V5 -7 C. d. -7 e V3Find the directional derivative of the function at the given point in the direction of vector v. f(x, y) = 2 + 6x√y, (4, 16), v = (4, -3) Duf(4,16) =Calculate the directional derivative in the direction of v at the given point. Remember to normalize the direction vector. f(x, y) = x² + y³, = (2, 7), P = (3, 4) Dy f(P) =
- Calculate the directional derivative of f(x, y) = tan−¹(xy) in the direction of v = −5i + 5j at the point P = (0.5, 0.5). Remember to normalize the direction vector. Duf(0.5, 0.5) = ACalculate the directional derivative in the direction of v at the given point. Remember to normalize the direction vector. f(x, y, z) = z? – xy², v = (-1, 2, 2), P = (3, 8, 3) Duf(3, 8, 3) =Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) =8xy2, (5,-7) maximum rate of change direction vector