Function f (x, y, z) = xy + Xz+ yz www 1-Find its derivative in the direction of v (2, 3, 6) www www www wwww vwww w 2- Calculate the value of this derivative at the point wwwwwww www P (1, 0, 2).

Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

A: The function is given as , fx,y,z=xy-xy2z2 find the directional derivative at point P1,-2,1 in…

Q: Find the gradient of the function at the given point. Function Point F(x, Y, z) = Vx + y² + z? (8,…

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

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

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Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (-2, -3) in the direction 0 =…

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Q: Find the gradient of the function at the given point. Function Point f(x, у, 2) : x2 + y2 + z? (7,…

A: Formula for the directional derivative of the function f(x,y,z) is: ∇f = fxi +fyj +fzk Where…

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x2 + y2 + z2 (4,…

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Q: given point. Function Point f(x, y, z) = V x2 + y2 + z² (10, 3, 9) %3D Vf(10, 3, 9) = Find the…

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Q: 3. Find the value of the directional derivative at the particular point Po for the given function in…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x3 - y3, P(4,…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y2 + z* (5,…

A: To find gradient of the function at the given point.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx, Po(3, - 3,…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(8,…

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

A: We find the directional derivative in the following way:-

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z2 (3,…

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Q: f (x, y) = x ln (), P(3, 1), u = -i+ i Р(3, 1), и

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Q: Use directional derivative definition to find derivative of f(x, y) = x² + y² at the direction of ū…

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Q: Find the gradient of the function at the given point. Function f(x, y) = x² + 2xy Vf(5,2)= (No…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (4,…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z2 (4,…

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Q: (a) Find the directional derivative of f(r, y, z) = 8ry2-+y at the point (1,1, 1) in the direction…

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Q: Find the gradient of the function at the given point. Function Point f(x, y) = x2 + 2xy (2, 4) Vf(2,…

A: Given function fx,y=x2+2xyand the given point is 2,4.We need to find the maximum value of the…

Q: Find the derivative of the function at P0 in the direction of u. f(x, y, z) = -9x + 3y + 8z, P…

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Q: Use directional derivative definition to find derivative of f(x, y) = x2 + y? at the direction of u…

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Q: Find the derivative of the function f (x, y) = Vx² + y² at the point (-3, 4,5) in the direction of v…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y² + z² (8,…

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Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³,…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z2 (2,…

A: We have to find maximum value of the directional derivative at the given point.

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(1,…

A: To find the directional derivative of the given function.

Q: Find the gradient of the function at the given point. Function Point f(x, y) = x² + 2xy (4,0) Vf(4,…

A: Given :Function : fx,y=x2+2xy

Q: Find the directional derivative of f(x, y) = x/y at the point P(1, −4) in the direction of v =

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(7,…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x3 - y³, P(4,…

A: Given :f=x3-y3

Q: Find the derivative of the function at Po in the direction of A f(x,y,z) = xy + yz + zx, Po(3, – 3,…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(2,…

A: Formula to find directional derivative of the function F at a point P(x,y,z) in the of a unit vector…

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

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x? + y? + z? (5,…

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Q: Find the gradient of the function at the given point. Function Point x + 2y y + 1 f(x, y) = (1, 2)…

A: We have to find

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

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x2 + y2 + z? (7,…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x2 + y2 + z? (8,…

A: Gradient of function fx, y, z=x2+y2+z2 at  point 8, 7, 3

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(1,…

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Q: A) find the directional derivative of f at P f(x, y) = : x +y X- y. P(-1, –2); 0 = 1/2 х — у B) Find…

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Q: f(x,y,z)=x.y.zxy  for the function fzx(x,y,z)  calculate derivative.

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Q: Use directional derivative definition to find derivative of V3. f(x, y) = x² + y² at the direction…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q.2 Find directional derivative and gradient of f(x,y,z) at indicated point. f(x.y,z)=z'e", u= 3i +…

A: Given f(x,y,z)=z2exy, u=3i+j-5k, P=-1,2,3

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(7,…

A: To find the directional derivative of the function at P in the direction of v.hx, y, z=xyz, P7, 2,…

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz+ zx, (- 1,1,2),…

A: we have to find

Q: Find the directional derivative of the function at P in the direction of v f(x, y) = x³ - y³, P(6,…

A: we have to find directional derivative.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.