JOUS SE 1. Let F:R R? be defined by F(z,y, 2) = zy²e*i + (z+y++2)j. Then the derivative of F at the point (2, 1,0) is

Q: Find the directional derivative of f at P in the direction of a. f(r, y, 2) = xy + z²; P(0,3,1); a =…

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Q: Consider f(x, y) = 3a² – 4y² and U = cosn î + sin }r î. %3D %3D Find the directional derivative of f…

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

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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: Find the directional derivative of f at P in the direction of a. f(x, y, z) = xy + z²; P(-5,–5,4);…

A: Here we have to find the directional derivative of f(x,y,z)=xy+z2 at P(-5, -5, 4) in the direction…

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: Let f(x,y) = (x +G))’. Determine the directional derivative of f at the point (1,0) in the direction…

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Q: 12. Let f(x, y, z) = xy – 2³. Calculate the directional derivative of f at the point (3, -2, –1) in…

A: We have to find direction derivative

Q: Find the directional derivative of f(x, y) = cos(x) + y² at (T,2) in the direction of (3, –4).

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

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

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Q: b) Find the directional derivative of f (x, y) = xy + e*°vy + 1 at (-1,1) in the direction of the…

A: f=xy+ex3y+1 take the partial derivative with respect to x   fx=∂∂ xxy+ex3y+1 fx=∂ ∂ xxy+∂ ∂ xex3y+∂…

Q: Find the derivative of the function f(z, u) = =*y – 4y° at the point Po(2, 1) in the direction of =…

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Q: Find the directional derivative of f(x, y, z) = x²y + y²z v = at P(1,2,3) in the direction of %3|

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: Find the directional derivative of the function f(x,y, z) = ry + yz + zr at M(2,1,3) in the…

A: first we find out the partial derivative of given function and solve it . see 2nd step.

Q: Find the directional derivative of the function f(r,y, z) = xry + yz +. zr at M(2, 1,3) in the…

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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,…

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

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Q: Find the directional derivative of f(x, y, 2) = xz+ y?, at (1, 2, 3) in the direction of i = i+j+ k.…

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Q: Let f (x, y, z) = xz cos(y). Find the directional derivative of f at (1,0, 2) in the direction of v…

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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,…

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Q: Find the direction derivative of f(x,y)= Xe ² + y ² at the paint (2,1), by the dirction of V = i- j

A: Topic:- application of derivatives

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

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

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Q: What is the directional derivative of f(x, y, z)= In x 2 + 2y2 + 4 z 2 at the point P(-1. 2, 4) in…

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Q: Let f(x, y, z) = 3xy + 2yz - xz. Find the directional derivative of f(x, y, z) in the direction of…

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

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Q: Prove that the directional derivative of f(x, y) = y + 2xy³+x²y2 at point (0, 1) in the direction…

A: The gradient is just the vector of partial derivatives. The partial derivatives of f at the point…

Q: Find the directional derivative of the function f(z, v) = /1+ z*y? 32 (1+ x*y? at the point (1, 1)…

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Q: Let f(x, y) = sin(x – y). Calculate the directional derivative of f in the direction of v = (1, 1)…

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Q: i+ (x-my)j + zx*k and f=w0 0 cos "(yz - y²) xy If w In + m find at point (-m,0,2): (1) the…

A: We are provided with functions: w=lnxy-1y2+mi+zx-myj+zx2kf=w·cos-1yz-y2zk The objectives are at the…

Q: Find the derivative of the function at P.(0,0,0) in the direction of B. f(x, y, z) = 3e* cos yz,…

A: Directional derivative of the function.

Q: Find the directional derivative of f(x, y) = x²e²y in the direction of i = (1, –1).

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Q: Q3] Let f(x, y, z) = x In y – exz' . Calculate the directional derivative of fat point S (-5, 1, -2)…

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

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

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, z) %3D хуz, Р(3,…

A: Given

Q: Let f (z) = (7z + 9) (i – z). What is the real part of the derivative f' (1+ i)?

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Q: Find the derivative of the function at Po airection oT u. f(x, y) = 3x 2 + 4y, P o(8, 7), u = 3 i -…

A: 1. Given f(x, y) = 3x2 + 4y and u = 3i - 4j u^ = 1|u|u = 15(3i - 4j) ∇f·u^ = (i^ddx(3x2+4y) +…

Q: Find the derivative of the function f(x,y,z) = In (xy + yz + ZX) at the point (8,16,24) in the…

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Q: Let x²y q² +y² if (x, y) + (0,0), if (x, y) = (0,0) f(x, y) = (a) Find directional derivative of…

A: We have

Q: Find the directional derivative of the function f(r,y, z) = ry + yz + zx at M(2, 1, 3) in the…

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Q: Find the derivative of the function at P,(0,0,0) in the direction of B. f(x, y,z) = 3e* cos yz,…

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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: How are the directional derivative and partial derivative related (more information in the image)

A: The correct answer is the first option i.e. option A.

Q: 2. For the function f(x,y) = 3x + 4y – xy a) Vf(1,2) = b) Find the directional derivative of f at…

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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 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,…

Q: . Find the directional derivative of the function f(x,y, z) = xy+yz + zx at M(2,1,3) in the…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.