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13 Nov 2019
Directional Derivative: Problem 4 Previous Problem List Next (1 point) Find the directional derivative of f(x, y) = x2y3 + 2x4y at the point (-1,-2) in the direction θ = 3Ï/4. The gradient of f is Vf(-1,-2) = ã The directional derivative is:
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Irving Heathcote
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Related questions
Directional Derivative: Problem 3 Previous Problem List Next (1 point) Consider the function f(x, y) -5xy2-x3y. Find the gradient off: Find the gradient of f at the point (2, -4). Find the rate of change of the function f at the point (2, -4) in the direction u = ã-1/11, V120/11).
Directional Derivative: Problem 1 Previous Problem List Next (1 point) Consider the function f (x, y) =-3x2-y2 . Find the the directional derivative of f at the point (2, 1) in the direction given by the angle Find the unit vector which describes the direction in which f is increasing most rapidly at (2, 1)
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(1 point) Find the directional derivative off(x,y) = sin(x + 2y) at the point (1,-2) in the direction θ = 3n4 The gradient of f is: Vf = -cos(5) Vf(1,-2)=( -cos(5) The directional derivative is: , 2cos(5) :1 point) Suppose that you are climbing a hill whose shape is given by z = 616-0.03x2-0.04y2, and that you are at the point(100, 20, 300) n which direction (unit vector) should you proceed initially in order to reach the top of the hill fastest? f you climb in that direction, at what angle above the horizontal will you be climbing initially (radian measure)? 11 point) Consider the function f (x, y) =-x2-2y2 Find the the directional derivative off at the point (-1,1) in the direction given by the angle θ = Find the unit vector which describes the direction in which f is increasing most rapidly at (-1, 1).
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