Find the derivative of the function at P0 in the direction of u. f(x, y, z) = -9x + 3y + 8z, P 0(10, -6, 7), u = 3 i - 6 j - 2 k

Q: Find the derivative of the function at P0 in the direction of u. f(x, y) = ln(-9x - 4y), P 0(4,…

A: use gradient for finding the directional derivative.

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = P(1, 4, 8),…

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Q: Find the directional derivative of the function at in the direction of A where g(x, y, z)=3excosyz…

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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: Find the directional derivative of f(x, y) = (xy)^1/2  at P(6, 6) in the direction from P to Q(9, 2)

A: The directional derivative (D.D) of function f at point P in the direction of vector a is given by,

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

A: The formula for the directional derivative is given by , where is gradient of the function, f(x,y)…

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: The directional derivative of f(x, y) = -2e" cos y at (0, ") in the direction of v = (-6, 8) is O 7…

A: GIVEN : f(x, y) = -2 ex cosy     at  (0, π4)                in the direction of v = (-6, 8)

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 derivative of the function at Po in the direction of u. x-y g(x,y)= xy+2 Po(1,-1), u=12i+5j…

A: Given :g(x,y)=x-yxy+2u=12i+5j

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: 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 at P0 in the direction of u. f(x, y) = 3x 2 + 4y, P 0(8, 7),…

A: Directional derivative: - The rate at which any function changes at any given location in a fixed…

Q: Find the directional derivative of f(x, y) = x2y3 + xy2 in the direction ~v =< −3, 7 > at the…

A: f(x, y) = x2y3 + xy2 Please see the white board for the partial derivatives at the point (-1,…

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: The directional derivative of f(x, y) = In(x² + y²) at the point P(-5, 21) in the direction i = (9,…

A: Given  fx,y=lnx2+y2 To do find the directional derivative of fx,y at the point P-5,21 in the…

Q: Find the derivative of f at point P in the direction of u. f(x, y, z) = 6x² + 2y – 7z?, P = (8,–6,…

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

Q: Q2/ find the derivative of the function at P, in the direction of u. 1. f(x, y) = 2xy – 3y², Po(5,…

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

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Q: Find the direction derivative of f(x.y,z)-xy'z at the point p(3.2,1)in the direction towards…

A: given function, f(x,y,z) = xy2z3 first we need to find the gradient(∇f) of this function at point…

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: The directional derivative of f(, y) = In(x² + y²) at the point P(1,5) in the direction v (3, 4) is…

A: We have to find the directional derivative of the function fx, y=lnx2+y2 at the point 1, 5 in the…

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 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: Find the directional derivative of the function at the given point in the directic h(r, s, t) =…

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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: 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 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(x, y) = x 2 + 4y 2 at the point P = (3, 2) in the direction…

A: Given, f(x,y)=x2+4y2 at the point P=(3,2)

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

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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:

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

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Q: 3. Find the derivative of the function f(r, y, ) = xy + yz+ the direction A = 3i + 6j – 2k. zr at…

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Q: Find the derivative of the function at Po in the direction of u. f(x, y) = In(-10x - 7y), P o(-4,…

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Q: The directional derivative of f(x, y) = e cos y at (0, ) in the direction of v = (-6, 8) is -7 5/2…

A: Explanation of the answer is as follows

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 derivative of the given function at the point (a, a?, a) in the direction of w = ai + 2aj +…

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Q: Find the directional derivative of f (x, y) = e" /Ty at the point (1,16) in the direction of the…

A: From the given problem:   fx,y=exxy ; p1,16   And the direction of the negative y- axis means :…

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

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Q: Find the derivative of the function at Po in the direction of u. x- 5y g(x,y) = Ро(1, - 1), и%3 3і +…

A: To find the derivative of the function  g(x,y)=x-5y5xy+7 at P0(1,-1)in the direction of…

Q: Find the directional derivative of f(x, y) = In(e" - 2y) at the point (0,0) %3D in the direction of…

A: take the partial derivative with respect to x put the point (0,0)

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: * Find the directional derivative of. f (x, y) = -2e* cos y : (0, 4) in the directic of v = (-6,8)…

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Q: Find the directional derivative of the function f(x, y) = 3x6xy+10y at the point P (1,5) in the…

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

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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 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 at P in the direction of v. f (x, y) = 3x – 4cy+ 9y,…

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