Find the derivative of the function at Po in the direction of u. f(x, y, z) = In(x 2 + 3y 2 + 9z 2), P o(3, 3, 3), u = 3 i+ 4j 4. 13 13 3 13 OOO

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

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Q: The maximum directional derivative of f (x, y, z) =r sin(zy)-yz + 10 %3D at (1, -1, 0) is O v3 O 2…

A: For the scalar function f(x,y,z), gradient is the maximum rate of change.  So, first we will find…

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

A: As per our guidelines we only solve one question and rest of the question will be reposted.

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 derivative of the function at P in the direction of u. f(x, y) = 2xy – 3y². Po(5, 5). u =…

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Q: 3. find the derivative of the function at Po in the direction of u. f (x, y,z) = 3e* cos yz,…

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Q: _12. What is the maximum directional derivative Daf of the function f(x,y,z) = x – y² + z² at the…

A: Let's find.

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

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Q: Q1: Find the derivative of f(x,y,z)=x^2+xy^3-z at point P_o (1,1,0) in the direction of vector V…

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Q: Find the linearizations of the functionsat the given points. ƒ(x, y, z) = √2 cos x sin ( y + z) at…

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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 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: g(x, y, z) = xye, P(2,4, 0), Q0, 0, 0)

A: The given function is  g(x, y, z) = xyez

Q: The directional derivative of the function f (x, y, z) = x²z + xyz + y² in the direction of u = 2i +…

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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: 2. Find the gradient of the function f(r.y) In(r y²) at the point( 1, 1).

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Q: 12. Find the directional derivative of f(x, y, z)=zy+yz+xzat (1, 1, 2) in the direction of u =…

A: We can find the directional derivative in the following steps.

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

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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 +…

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

Q: The directional derivative of the fiunction f (x, y, z) = x²z+ xyz + y² in the direction of u = 2i +…

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Q: Find the directional derivatives of f(x,y,z) = x² y³ – y³z³ + x* in the direction of r = 2i– k, and…

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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: 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: 6. Let f(x, y, z) = e¬ª cosh y + z and P: (-1,0, 0). Find the derivative of f at the point P in the…

A: Given: f(x,y,z)= e-xcoshy+z.

Q: 7. Compute the gradient of the given function, evaluate it at the given point P, then compute the…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = , P(5, 2), v =…

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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 P0 in the direction of u. 1.ƒ(x, y, z) = xy + yz + zx, P0(1,…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: The directional derivative of the function f (x, y, z) = x²z + xyz+ y? in the direction of u = 2i +…

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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: 8. The second directional derivative of a function f(r, y) is D²f(x, y) = D„[D„f(x,y)]. If f(r, y) =…

A: Consider the given function, fx=x3+5x2y+y3 the formula for the second directional derivative of a…

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: 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: 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: 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: 2. Find the maximum value of the directional derivative, D f, of the function _2 f(x, y, z) = x´ +…

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

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Q: find the derivative of the function at P0 in the direction of u. 1.g(x, y, z) = 3ex cos yz, P0(0, 0,…

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. h(x, y, z) = xyz, P(8,…

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Q: 12 Use the gradient to find the directional derivative of the function at Pin the direction of Q.…

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

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Q: 1. Find the directional derivative of the function f (x, y, z) = In (3x + 6y + 9z) at the point…

A: To find: the directional derivative of the function f(x,y,z)=ln (3x+6y+9z) at P1(1,2,3) in the…

Q: Use the definition of directional derivative to solve Duf(xo, yo, zo) at point P(xo, yozo) where…

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

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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Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; _P(-3,3,1);…

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