Find the gradient of the function at the given point. z = x2y,    (9, 1) ∇z(9, 1) =      Find the maximum value of the directional derivative at the given point.

Q: Find the gradient of the function f(x,y) = 4y - 9x at the point (9,3). Then sketch the gradient and…

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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: To find the directional derivatives

Q: 5. Find the gradient of the curve i) y = 3e-2x – 1 at the point where x =. ii) y = xv2x - 3 at the…

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Q: Find the gradient for the function f(x,y)=5x^5y^2 at the point (1,2

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Q: Find the gradient of the function at the given point. z=y/x^2+y^2   (2, 2) Find the maximum value of…

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

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Q: Find the gradient of the function at the given point. In(x2 - y) - 2, (2, 3) Z = Vz(2, 3) =

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Q: Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

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

Q: 6.) Find the directional derivative of g(x,y)=Vx² +y² at the point P(3,4) in the direction of v…

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. Зx +…

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Q: Find the directional derivative of f(x, y) = x² - 2xy at the point (1, -2) in the direction from…

A: directional derivatives

Q: Find the gradient of the function f(x,y) = /4x+2y at the point (- 1,4). Then sketch the gradient…

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Q: Find the gradient of the function at the given point. Function Point f(x, у, 2) 3 x2 + y2 + z2 (7,…

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Q: Find the gradient of the function w = xy2z2,  and the maximum value of the directional derivative at…

A: Given function:    w=xy2z2

Q: c. y = 2Vx when x = -1 с.

A: We have to find the gradient

Q: Find the slope of the curve y2 + x² = y* – 2x at (-2,1) Find the required derivative by applying the…

A: topic - slope of curve note - As per bartleby guidelines ,we are supposed to answer only first…

Q: Find the gradient of the function at the given point. In(x² – y) - 9, (3, 8) z = Vz(3, 8) =

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Q: Find the gradient of the function at the given point. In(x? - y) - 3, (2, 3) Vz(2, 3) -

A: We have to find the gradient of the function z = lnx2-yx-3 at the point 2, 3.

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 6,    (1, 4) ∇f(1, 4) =

A: As we know that; The expression for the gradient vector; ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y…

Q: Find the derivative of the function f (x, y, z) = -9x + 5y – 10z at the point (-3, 6, 5) in the…

A: we have to find the following . I have explained in details please see the explanation and if any…

Q: b. y = 2x2 when x = 6 %3D 3.

A: Consider the curve: yx=2x23 at x=6. Find the gradient of the curve at x=6.

Q: Given the function z = f(x, y) = 3x² +6xy + y² + 8y, find the following: a) Find gradient at (-2, 3)…

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

A: Definition used -          Directional derivative at the point -     The rate of change of f(x, y)…

Q: Find the gradient of the function y = x³ + x² – 2x at points where - a. It crosses the x -axis b. It…

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Q: Find the gradient of ?:V x²+y²1Z²

A: Gradient of a function f(x,y,z) is given by ∂f∂xi  ∂f∂yj + ∂f∂zk

Q: Find the gradient of the function at the given point. g(x, y) = 5xev/x, (8, 0)

A: Follow the procedure given below.

Q: 1. Find the directional derivative of the scalar function f = yzx^2 + 4xz^2 at the point P(1,-2,-1)…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (20, 8, -4) Vw(20, 8, -4) =

A: The expression for the gradient vector is:…

Q: Find the gradient of the function at the given point. In(x2 – y) – 9, (3, 8) z = Vz(3, 8) =

A: use partial derivative for finding the gradient.

Q: If f(x, y) = xy, find the gradient vector Vf(7, 5) and use it to find the tangent line to the level…

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Q: Find the gradient of the function w = 1/(√1 − x2 − y2 − z2),  and the maximum value of the…

A: The given vector is:

Q: w = 3x² – 5y² + 2z², (1,1, –2)

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Q: Find the gradient of the function at the given point. f(x, y) = 3x + 4y2 + 10, (3, 4) ∇f(3, 4) =

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Q: First, compute the gradient of the function f(x,y) = 4+5x²-3y². Then evaluate it at the point…

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Q: Find the gradient of the function f​(x,y)=5y−9x at the point (4,4). Then sketch the gradient and the…

A: Given the function

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: Find the gradient of the function at the given point. Function g(x, y) = ye-* Vg(0,4)= Point (0,4)…

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Q: Find the derivative of the function at the given point in the direction of A. 3) f(x, y, z) = -10x+…

A: Here initially we need to find out the partial derivative of the given function to find out the…

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

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Q: First, compute the gradient of the function p(x,y)= 12- 2x-y Then evaluate it at the point (- 1,2).

A: We need to find partial derivatives with respect to x and y to find gradient

Q: Determine the gradient of the curve 3xy + y² = -2 at the point (1, -2)

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Q: Find the gradient of the function at the given point. In(x² - y) - 9, (2, 3) = Z Vz(2, 3) =

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Q: Find the derivative of the function. f(z) 0.6z-0.4z2 - 0.8 f' (z) -

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Q: Find the linearization of the function z =/ at the point (-5, 1). L(1, y)

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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.