Use the gradient to find the directional derivative of the function at P in the direction of Q. f(x, y) = 3x2 - y² + 4, P(7,7), Q(8, 4)

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the gradient of the function at the given point.

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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: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the gradient of the function at the given point f(x, y) = 5x + 4y² + 1, (1,4) Vf(1, 4) =

A: Solution of given question is written in below steps.

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Use the gradient to find the directional derivative of the function at P in the direction PQ. f(x,…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (19, 5, -1) Vw(19, 5, -1) =

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y² +6, (3, 1) Vf(3, 1) =

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Q: Find the gradient of the function at the given point. f(x, y) = 3x + 5y2 + 8, (2, 1) Vf(2, 1) =

A: We have given function  fx,y=3x+5y2+8 fx=∂fx,y∂x fx=3∂x∂x+5∂y2∂x+∂8∂x fx=3+0+0 fx=3  .........(i)…

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

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (9, 8, –3) Vw(9, 8, -3) =

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 3y2 + 2, (3, 5) Vf(3, 5) =

A: Given: fx,y=2x+3y2+2 ; Px,y=3,5   As we know that; The expression for the gradient vector.…

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: Gradient of f(x,y) is calculated by partially differentiating the equation.

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 8,    (2, 1) ∇f(2, 1) =

A: We have to find the gradient of the function  f(x, y) = 2x+4y2+8  at the point (2, 1).

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 3y2 + 5, (4, 1) Vf(4, 1) =

A: f(x,y)=5x+3y2+5 fx(x,y,z)=5fy(x,y,z)=3(2y)=6y∇f =fx(x,y,z) i +fy(x,y,z) j

Q: Find the directional derivative of the function at P in the direction of v.  f(x,y) = x2y , P(-5,5)…

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Q: find the gradient of function f [x, y,z] = 3x² -y?_z? at paint {i,-Ź, -¡}

A: The given function is fx,y,z=3x2-y3-z2 and the given point is 1,-2,-1. The gradient of the function…

Q: Use the gradient to find the directional derivative of the function at P in the direction of Q. f(x,…

A: We know that the directional derivative of a function f(x, y) at a point P in the direction of a…

Q: Use the gradient to find the directional derivative of the function at P in the direction of  PQ.…

A: This is question of application of differentiation which we will proceed as follows

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 gradient of the function at the given point. f(x, y) = 2x + 4y2 + 1, (1, 5) Vf(1, 5) =

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Q: Find the gradient of the function f(x,y,z)=2xe^(y/3)sin(3z). grad f=

A: Given f(x,y,z)=2xe(y/3)sin(3z) We need to find gradient of f(x,y,z)

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 8, (2, 1) Vf(2, 1) =

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Q: Find the gradient of the function f(x, y) = 3x + 5y2 + 1, at the given point      (2, 1)

A: Given equation - f(x,y) = 3x+5y2+1We can write it as - y = 3x+5y2+1Gradient is given by , dydxNow…

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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

A: Find the directional derivative of the function at point P9,9 in the direction of the point Q12,5.…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (19, 7, -4) Vw(19, 7, –4) =

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Q: Use the gradient to find the directional derivative of the function at P in the direction of Q. g{x,…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) Vw(10, 5, -2) =

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Let v = (3,4, 12) . Find the directional derivative of f(x,y, z) = x – y² +3z³ in the direction of…

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Q: Find the gradient of f at the indicated point f(x,y,z)=yz3-2x2; P(2,-3,1)

A: The formula to find the gradient is ∇f=∂fx,y,z∂x,∂fx,y,z∂y,∂fx,y,z∂z, that is partially…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (9, 5, -1) Vw(9, 5, -1) =

A: Gradient of function is ∇w=i^∂w∂x+j^∂w∂y+k^∂w∂z where i^, j^, k^ are unit vectors along x, y, z axis…

Q: The gradient of f(x, y) = xy at (x, y) = (3, 1) is

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

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y² + 4, (3, 4) Vf(3, 4) =

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Q: Find the gradient of f(x, y) = 3xty3 + 4x°y® at (1, 2).

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the gradient of the function g(x, y) = 2xey/x , at the given point (2, 0)

A: Consider the given: gx,y=2xeyx,2,0Gradient of the function…

Q: Find the gradient of the function at the given point. w - x tan(y + z), (8, 5, –2) Vw(8, 5, –2) =

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: The gradient of f(x, y) = xy at (x, y) = (3, 3) is

A: Given problem:- Find the gradient of f(x, y) =xy at (x, y) =(3, -3)

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ g(x,…

A: Given that: g(x, y, z)=xye10z,     P(4, 12, 0), Q(0,0,0)

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 1, (1, 4) Vf(1, 4) =

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: Given that, the function is gx,y,z=xye8z and the points are P3,12,0 and Q0,0,0.…

Q: Find the gradient of the function w = 6xy − y2 + 2xyz3, at the given point  (−1,  5, −1)

A: To find the gradient, take the derivative of the function with respect to x,y,z.