Suppose that f(r, y) the point (r, y) 3 (6, ry. The directional.derivative of f(z, y) in the directional (-6, -2) and at 4) is

Q: Use directional derivative definition to find derivative of V3. f(x, y) = x² + y² at the direction…

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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: The function is given as , fx,y,z=xy-xy2z2 find the directional derivative at point P1,-2,1 in…

Q: Write down the the definition (in terms of limits) of the directional derivative and use it to…

A: We have to write down the definition of the directional derivative and also find the directional…

Q: Find the directional derivative of f(x, y) = 3x² - y² + 5xy at (2,-1) in the direction of -3i - 4j.…

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Q: Use directional derivative definition to find derivative of V3 - f(x,y) = x² + y² at the direction…

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Q: Find the directional derivative of f(x, y) = 3x² - 2y² at point ,0) to point 3 (-2-1,0) 0(0,1). in…

A: Let's find directional derivative.

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 direction 0 in which the directional derivative of the function x + y f(x, y) = 2(x + y) -…

A: Given that: f(x, y)=2(x+y)-x+yxy

Q: Suppose that f(r, y) = x y - y5zz. Find the directional derivative of f(x, y) in the direction of…

A: Note:In the question, f(x, y) = x3y - y5z + z. It can be noticed that the LHS is giving information…

Q: If F = 2yzî – x²y} + xz°k and o = 2r²yz", find F · (Vø) Find the directional derivative of the…

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Q: What is the largest value that the directional derivative of ƒ(x, y, z) = xyz can have at the point…

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Q: Suppose that f(x, y) the point (x, y) = (2, – 6) is = xy. The directional derivative of f(x, y) in…

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Q: Find the directional derivative of f(x, y) = direction of Q(2,-2). NOTE: Enter the exact answer. √2…

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

A: Gradient of a function f(x,y,z) is given by,          grad(f(x,y,z))=i∂∂x+j∂∂y+k∂∂zf(x,y,z)…

Q: Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional (1, – 1) and…

A: We have to find the directional derivative of the given function in the given direction and at the…

Q: Use directional derivative definition to find derivative of f(x, y) = x² + y² at the direction of ū…

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Q: Find the directional derivative of the function at P in the direction of v. fx, у) — х3 - уз, Р(4,…

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Q: Find the directional derivative of f(x, y) = 5e-y at (-1, 1) in the direction of (-4,3). %3D

A: The directional derivative is the dot product of the gradient at the given point and the normalized…

Q: What is the derivative of f(x,y) y° at P = (3, 1) in the direction toward %3D Q = (4, –3)?

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Q: Suppose that f(x, y) (x, y) (,5) = xy. Find the directional derivative of f(r, y) in the direction…

A: Given

Q: Suppose that f(æ, y) f(x, y) in the directional (1, – 1) and at the point = xy. The directional…

A: Here, the given function is: f(x,y)=xy So, ∇f=∂f∂x,∂f∂y⇒∇f=y,x⇒∇f(4,-3)=-3,4

Q: Suppose that f(x, y) = xy. The directional derivative of f(x, y) in the directional and at the…

A: Explanation of the solution is given below....

Q: Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional and at the…

A: we will find the directional derivative

Q: Suppose that f(x, y) = x*y². The directional derivative of f(x, y) in the directional and at 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: Suppose that f(x, y) = x°y. The directional derivative of f(x, y) in the directional (– 2, – 1) and…

A: Explained below

Q: Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional (- 3, 1) and…

A: First find gradient at point and take dot product with unit vector

Q: Find the directional derivative of f(x, y) at the point (9,0) in the direction indi- -8y xe cated by…

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Q: Use directional derivative definition to find derivative of f(x,y) x2 + y² at the direction of u…

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Q: Use directional derivative definition to find derivative of f(x, y) = x² + y? at the direction of u…

A: We have to use divergence.

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

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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: Find the directional derivative of F(x,y,z)=(xy^2)lnz at (1,2,e) in the direction of

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Q: compute th directional derivative of f(x,y) at point P in the direction of the point Q .

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

A: We have given:   f(x , y)= x3y2. The direction derivative of f(x, y) in the direction of ( -1,-2 ).…

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

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Q: 15 /(х. у) 2гу-Зх, Р % (2, 1), - (3,2)

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Q: The directional derivative of f(x, y) in the directional

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Q: Use directional derivative definition to find derivative of V3- f(x, y) = x² + y² at the direction…

A: We have to find the  directional derivative

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

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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: Use directional derivative definition to find derivative of V3. f(x, y) = x² + y² at the direction…

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 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: Use directional derivative definition to find derivative of V3 - f(x, y) = x² + y² at the direction…

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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: What is the maximum value of the directional derivative of f(x, t) = f (x, t) = x² + t²/8 – 10 at…

A: Note: The directional derivative of a function is the rate at which the function changes at a…