2. Find the directional derivative of the function at the given point in the direction of...
Find the directional derivative of the function at the given point in the direction of vector v. g(x, y, z) = (x + 2y + 5z)3/2, (8, 3, 7), v = 4j - k
Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xyz, (4,2, 8), v = (-1, -2, 2) Duf(4, 2, 8) = -4 X
Find the directional derivative of the function at the given point in the direction of vector v. f(x, y, z) - xel + ye? + zet, (0, 0, 0), v = <4,9,0> DULCO,0,0) - Need Help? Read it Talk to a Tutor
Answer the two parts. Label each your answers Find the directional derivative of the function at P in the direction of v. g(x, y) = x2 + y2, P(7, 24), v = 3i - 4j Submit Answer Find the gradient of the function at the given point. Function Point f(x, y) = x + 9y V + 1 (8, 2) 11 1 Vf8, 2) = 1316 Find the maximum value of the directional derivative at the given point.
Compute the directional derivative off at the given point in the direction of the indicated vector: M(x, y) = 221-,(1, 2), u in the direction of -3i – 21 D./(1, 2) =
1) Find the directional derivative of the function at the given point and in the direction of the vector u as shown when f(x,y)= sen(2x+3y); (-6,4); u=(1/2)(sqrt(3)),-1) POSSIBLE ANSWERS A) sqrt(3)-(3/2) B) (3/2)+sqrt(3) C) (3/2)-sqrt(3) D) -(3/2)-sqrt(3) 2) Find the direction in which the function is growing or decreasing more rapidly at the point shown: f(x,y)=x(e^y)-lnx; (4,0) POSSIBLE ANSWERS: A) u=(3/(sqrt(265)) , 16/(sqrt(265))) B)u=(3/(sqrt(265)) , -16/(sqrt(265))) C)u=(16/(sqrt(265)) , 3/(sqrt(265))) D)u=(-3/(sqrt(265)) , 16/(sqrt(265)))
Problem 17 Find the directional derivative at the point (-1,1) Problem 18 In what direction is the function (x,y) - cos(^) sin(y sloping most steeply doumhall at the point (r/A,x/0) Recall that a directiom is rported as a unsit wector. Problem 17 Find the directional derivative at the point (-1,1) Problem 18 In what direction is the function (x,y) - cos(^) sin(y sloping most steeply doumhall at the point (r/A,x/0) Recall that a directiom is rported as a unsit wector.
s (ls points) 1/ Given f(x,>)-xy+e" sin y and P(1,0) a) Find the directional derivative of fat P in the direction of Q(2, 5). b) Find the directions in which the function increases and decreases most rapidly atP e) Find the maximum value of the directional derivative of fat P. d) Is there a direction u in which the directional derivative o f fat P equals 1? If there is, find u. If there is no such direction, explain. e)...
The directional derivative of the function f(x, y) = 2x In(y) in the direction v =< 0,1 > at the point (1,1) is equal to 2. Select one: O True False