The second directional derivative off(,y) is D2uf(x,y) = Du[Duf(x,y)] Iff(x, y)=x3+ 5x2y4yand ( )...
Question 5 Find the directional derivative off at P in the direction of a. f(x, y, z) = xy +z+; P(2, -2,2); a =i+j+k Duf = ? Edit
Chapter 13, Section 13.6, Question 015 Find the directional derivative off at P in the direction of a. f (x, y, z) = xy + z2; P(3,0,2); a =i+j+k Duf = ? Edit
Question 6 20x Find the directional derivative of f (x, y) = at P (4,0) in the direction of Q(1, -2). x+y Enter the exact answer. Duf = Edit
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U + tyy = 0. 3. Find the directional derivative of f(x,y) 2In y at the point P(2,1) in the direction ū= 21+ 4. Find the linearization of f(x,y) = x2 + y2 at the point P(3, 4) and use it to
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(a) 3 marks The directional derivative of f(x,y) at a point P in the direction of the vector <2,3 > equals 7, and the directional derivative of f(x,y) at a point P in the direction of the vector < 1,-2 > equals 5. Find Vf at P. (b) 4 marks (c) 4 marks Find Zxy if z3 = xz+y. (d) 4 marks Find and classify all local extreme points of f(x,y) = x3 + y3 - 3x...
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 off at P in the direction of the vector U f(x,y,z) = x²lny P(5,1); U = wait à 1 = ( )
6. Let f(x,y) = xy+sin(x). Find all directions (unit vectors) so that the directional derivative off at the point (1,0) equals -
(1 point) Use the contour diagram for f(x, y) shown below to estimate the directional derivative off in the direction v at the point P. (a) At the point P = (2, 2) in the direction ✓ = 7, the directional derivative is approximately O‘ot 16.0 18.0 12.0 14.0 2.0 (b) At the point P = (3, 2) in the direction ✓ = -1, the directional derivative is approximately 8.0 (c) At the point P = (4,1) in the direction...
4. Let f(x, y) = 2 - 2x – y + xy. (a) Find the directional derivative of f at the point (2,1) in the direction (-1,1). [2] (b) Find all the critical points of the function f and classify them as local extrema, saddle points, etc. [2]