Chapter 13, Section 13.6, Question 015 Find the directional derivative off at P in the direction...
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 13.7, Question 023 Find two unit vectors that are normal to the given surface at the point P. V*1 =?:P6,5,1) 1 1 15 1 1 1 U1 = j k and U2 = 15 -k /227 j + 227 227 V227 V227 227 1 1 1 1 ui = 15 k and U2 227 i + 227 j + 227 227 227 15 -k V227 15 -k 227 1 1 1 ui 15 k and u2 =...
Find the directional derivative of f at p in the direction of a. f(x,y,z)=xy+z^2; P(2,-2,2);A=i+j+k
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
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 = ( )
Chapter 13, Section 13.6, Question 001 Find DJ at P. $(x,y) = (4 + xy) P(4,3); u = - V2 1+ Enter the exact answer. Def = ? Edit Click if you would like to show Work for this question: Open Show Work
5. Find the directional derivative of the function at Pin the direction of u: a f( -2..2 f(x,y,z) = x2 + 2y2 - 3z-, P.(1,1,1), u = i +j+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
(5 points) (a): Find the directional derivative of \(f(x, y)=y^{2} \ln x\) at \(P(1,4)\) in the direction of \(\mathbf{u}=-3 \mathbf{i}+3 \mathbf{j}\)(b): Find the equation for the tangent plane and normal line to the surface \(\cos (\pi x)-x^{2} y+e^{x z}+y z=4\) at \(P(0,1,2)\)
3. Find the gradient ãf and the directional derivative at the point P(1,-1,2) in the direction a = (2,-1,1) for the function f(x, y, z) = xºz-yx + 2. In which direction is the directional derivative at P decreasing most rapidly and what is its value?