The directional derivative of a function f(x, y, z) = xy - xz + y at the point Po(-1,0, 1) in the direction of a vect v = i-j- 2k is Select one: A. None of these answers O B. 0 O C. D.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Find the directional derivative of the function at P in the direction of f(x, y, z) = xy + yz + xz,…

A:

Q: Find the derivative of the function h (x, y, z) = cos xy+ e+ In zx %3D at P. (1, 0, 1/2), in the…

A: Here we have to find directional derivative of h(x,y,z) in the direction of u.

Q: Find the derivative of the function at Po in the direction of A. h(x, y, z) = cos xy + e + In zx,…

A:

Q: a) Find directional derivative of the function at P, in the direction of u where f (x, y, z) = x? yz…

A: From the given problem:   fx,y,z=x2yz+4xz2, P01,-2,-1u=2i+j-2k   From the expression of the…

Q: Find the values of constants a,b,c such that the maximum value of the directional derivative of…

A:

Q: Find the directional derivative of f at P in the direction of a. f(x, y, z) = xy + z²; P(5,–1,–1);…

A: Determine the gradient of f. ∇fx,y,z=∂f∂x+∂f∂y+∂f∂z=∂xy+z2∂x+∂xy+z2∂y+∂xy+z2∂z=x+y+2z Now determine…

Q: the linear approximation for f(x,y) = sqrt (y+cos^2 x) at (0,35) is ?

A:

Q: Find the derivative of the function at P0 in the direction of u. f(x, y, z) = ln(x 2 + 3y 2 + 9z…

A: For the solution of the problem follow the next step.

Q: Find the directional derivative of the function at P in the direction of v g(x, y) = /x² + y², P(3,…

A: Follow next step

Q: ind the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Let f(x, y) = x2 – y?. Find (a) The directional derivative of f at (-2, 1) in the direction of v = i…

A:

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A: Given function: Formula used:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the directional derivative of the function at the point P in the direction of the p f(x, y) =…

A: Directional derivative of f in dircetion of u is given by=  (grad f).u Here we first calculate…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³y³, P(8, 3),…

A: Here we have to find the direction derivative.

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A:

Q: Find the linear approximation of the given function at (0, 0). f(x,y) = sqrt(y+(cos(x))^2)

A: The given function fx, y=y+cos2x The linear approximation in 2 variables is given by Lx, y-fa,…

Q: 3. Given the function f(x, y, z) = In(x² + y² – 42²), find the directional derivative f, in the…

A:

Q: The directional derivative of f(x, y) = -e" cos y at (0, ) in the direction of v = (-6, 8) is 14 O…

A: Here,

Q: Find the linear approximation of the function at the given point: f(x, y) = 2 sin x – 3 cos y at (0,…

A:

Q: Find the directional derivative of the function at P in the direction of v. == P(1, 2), v = -j f(x,…

A:

Q: a) Find the derivative of f(x, y, z) = 4zx – xy² – z,at P,(1,0, 2) in the direction of v = 4i – 5j +…

A: Given: The function, fx, y, z=4zx3-xy2-z at P01,0,2 in the direction of v=4i-5j+40k.

Q: Find the directional derivative of the function at point P in the direction of v. h(x, y, z) = xyz,…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Given,            fx,y,z=xy+yz+xz , P8,9,-8 , v=16i+j-kTo find : Find the directional derivative of…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³y³, P(4, 3),…

A:

Q: B. Use the definition of directional derivative to solve Duf(x0, Yo, zo) at point P(xo, Yo%o) where…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(8,…

A: To determine the directional derivative of the function at point P in the direction of v.

Q: O Find for the directional derivative of the function at P,in the direction of A where f(x,y, z) =…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³y3³, P(10,…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y°, P(10,…

A:

Q: Let f(2, y) = In(' + 2 xy). Find the directional derivative of f at the point (1,1) in the direction…

A:

Q: find the directional derivative of f at the In Exercise point P in the indicated direction. S(x, y,…

A: NOTE:We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the directional derivative of the function at P in the direction of v. f(x,y)= 3x-4xy +8y,…

A: Given query is to find direction derivative of f.

Q: Find the directional derivative of f(x,y,z) = x² + xy + z² at point (1,0,1) in the direction of z -…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x,y,z) = x²+y²+z²…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Find the directional derivative of f at the given point in the direction indicated by the angl f(x,…

A:

Q: Let f(, y) = In(?y+ 2 ). Find the directional derivative of f at the point (1,1) in the direction of…

A: Directional derivatives along vector u is <fx,fy><u>

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = , P(3, 4), v =…

A:

Q: Find the directional derivative of * f (x, y) = 2e* cos y at (0, 7) in the direction of v = (-6, 8)…

A:

Q: Find the directional derivative of f(x,y,z) = x³ + 3xy + 2y + z? at (1,1, 1) in the direction of v =…

A: We will use the fact that the directional derivative of a function at a point in the direction of a…

Q: Find the values of constants a,b.c such that the maximum value of the directional derivative of f…

A:

Q: Find the derivative of the function at the given point in the direction of A. f(x, y, z) = tan-1 8x…

A: Here we have to find the directional derivative of f(x,y,z)=tan-18x3y+8z at a point (3,0,0), in the…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: To find the directional derivative of the function at P in the direction of v.fx, y, z=xy+yz+xz, P1,…