The directional derivative of f(x,y, z)=y e*z + z² at the point (0, -10, 2) 2 in the direction of U = -k Note: Write down only the final answer round it to the nearest whole number

Q: Please show your answers to at least 4 decimal places. Suppose that f(x, y) = ry. The directional…

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Q: The directional derivative of f(z, y,2) = r'y- v': at the point (3,2,1), in the direction of the…

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Q: Please show your answers to at least 4 decimal places. Find the directional derivative of the…

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Q: 5. Find the directional derivative of f(x, y) = xy – y at the point (1, 2) along the unit vector…

A: The given function is: f(x,y)=xy-y2 Given point is: P = (1, 2) Direction vector is: v=3, 4

Q: 4. Determine the directional derivative of f(r, y, z) = xe"+rsinz+a²y at the point (2,0, ) in the…

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Q: Find the directional derivative of f(x, y, z) : 4y at P(3,1, –2) x + z in the direction from P to…

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Q: Find the directional derivative of f(x, y) 6x at P(3,0) in the x + Y direction of Q(0,–2). NOTE:…

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = ry. The directional…

A: Find the directional derivative of the function

Q: 53.) Find directional derivative of f(x,y) = Jxy at (1, 4) toward the point (4, 9) %3D

A: f(x,y) = √(xy)

Q: 5. Consider the function f(r, y) = sin(x² + y²). (a) direction of (4,3). Find the derivative of f(r,…

A: The directional derivative is the rate at which the function changes at a point in the direction .…

Q: Find the directional derivative of f(x, y) 12x at P(4,0) in the x + y direction of Q(1,–1). NOTE:…

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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 Directional derivative of Hhe function fcauy.)= n (x好) 1- aut point (1,2,1) in the…

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Q: 8. Find the directional derivative off at the p in the direction of v = () of f(x, y, z)=x²exx, p =…

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Q: Please show your answers to at least 4 decimal places. Suppose that f(x, y) = x'y". The directional…

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Q: 1 Find the direction derivative of f(x, y, z) = x²y -zx -y³x at the point (1,-1,1) in the direction…

A: Directional derivative

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 directional derivative of f(x, y) at P(5,0) in the %3D x + y direction of Q(3, –3). NOTE:…

A: Given- f(x,y)=20xx+y To find the directional vector of f(x, y) at P(5,0) in the direction of…

Q: a) Find the directional derivative of S = In(2x +3y) at point (-1,1) in the direction of 4i -3j b)…

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Q: The directional derivative of f(z, V, z) =y-vz at the point (2, 1,1), in the direction of the…

A: We have to find directional derivative of given function f in the direction of tangent line of the…

Q: Find the directional derivative of the function f(x,y) = y² Inx at the point (1,2) in the direction…

A: Given function, f(x,y)=y2 ln x Point 1,2 and vector u=3,4 The unit vector of u is…

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

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Q: Find the directional derivative of f(x, y, z) = x² + y² - z at P:(4,1,-17) in the direction of a =…

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Q: The directional derivative of f(x, y) = xe + 2y at point (2, 0) in the direction of the angle = is:…

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

A: The given function is fx,y=ycosxy. Evaluate the gradient of the function at the given point.…

Q: Please show your answers to at least 4 decimal places. 3.2 Suppose that f(x, y) x'y. The directional…

A: We have to find the directional derivatives for the given function f at (-2, -1) in the direction…

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 derivative of the function at Po in the direction of A f(x,y,z) = 3 e* cos (yz), Po(0,0,0),…

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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: Calculate the directional derivative of the function f(x.y.z)= In(xy+xz+yz) at (1, 1, 1) in the…

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

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Q: Find the gradient of pthe function and the maximum value of the directional derivative at the point…

A: To finds the gradient of the funxction and the maximum value of thedirectioonal derivative at the…

Q: 2. Find the directional derivative of f(x, y) = -2e* cos y at %3D (0, ) in the direction of v = (-6,…

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

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Q: Suppose that f(z, y) = z*y°. The directional derivative of f(1, y) in the directional ( – 1, – 2)…

A: We can solve this as follows:

Q: 3x The directional derivative of f(x,y,z) = ln (주)을 1+yz from P to Q(-1,-1,2) is given by...…

A: We can solve this using given information

Q: 3x The directional derivative of f(x,y,z)=ln at the point P (2,0,-1) in the direction 1+yz z² from P…

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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

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = a°y?. The directional…

A: Given function is fx,y=x3y2 We have to find the directional derivative of fx,y in the direction of…

Q: The directional derivative of f(x, y) at the point (a, b) in the positive y- direction is f (a, b).…

A: Solution: We know that if f(x,y) is a function of two variables x and y, then fx at a point (a,b)…

Q: Find the directional derivative of the function at point P in the direction of Q. f(x, у, z) P(2, 1,…

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

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Q: Ctiofnal g(x, y) = V x² + y², _P(5, 12), v = 3i – 4j -

A: The partial derivatives of f at point (x,y)=(5,12) are :…

Q: Find the directional derivative of f(x, y, 2) 2y at P(5, 1, –4) a + z in the direction from P to…

A: Given: fx,y,z=2yx+z, P5,1,-4, Q2,3,-1   The expression for the directional derivative of the…

Q: Find the directional derivative of f(x, y, z) = 5y at P(5, 1, –4) x + z in the direction from P to…

A: We have to find directional derivatives for the given function.

Q: Suppose that f(z, y) = x°y?. Find the directional derivative of f(x, y) in the directional (1, – 1)…

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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

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Q: What is the directional derivative of f(x,y,z) = ln(x²+2y²+ 4z²) at the point P(-1, 2, 4) in the…

A: The given function is; f(x,y,z)=ln(x2+2y2+4z2) Point P(-1,2,4) u=-3i/13 -4j/13 -12k/13.

Q: Find the maximum value of the directional derivative at the point (3, 4) of the function x+y f(x.y)=…

A: The given function is fx,y=x+yy+6  and the point is 3,4. To find the maximum value of the…