Find the directional derivative of f (x, y) = e" /Ty at the point (1,16) in the direction of the negative y-axis. -6e Зе

Q: Suppose that f(r, y) ry. The directional derivative of f(x, y) in the directional (1, - 1) and at…

A: directional derivative f(x,y) = adf/dx +bdf/dy (a,b) = (1,-1) df/dx = y df/dy = x directional…

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: z = Vx4 + yf, fz (1, 2)

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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: (d) Find the directional derivative of f(x, y) = x²e¬y at (-2,0) in the direction towards the point…

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Q: What is the directional derivative of the function f(x.y)-2xy-3y at point p.- (5,5) in the direction…

A: To find: The directional derivative of the function f(x,y)=2xy-3y2 at point P=(5,5) in the direction…

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: 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: 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: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

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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: Which direction is the directional derivative of the function f (x,y, z) = x2 – 2yz at point…

A: Solution: The function is fx,y,z=x2-2yz The point is P1,1,1 We have to find the direction in which…

Q: Find the directional derivative of f(x, y) = V5x + 3y at the point (0, 2) in the direction 0 3…

A: f(x,y) = 5k+3yt point (0,2)in direction θ= 5π4 radiusto find directional derivativesolution1)…

Q: Determine the directional derivative of f(x, y, z) = xe³+xsinz+x²y at the point (2,0,4) in the…

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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: 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: Determine the directional derivative of X²Yz +4XZ² at the point P(1,-2,1) in direction a=2û - j +² R…

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Q: Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a.…

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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: What is the derivative of h(x, y) = e"Y at (2, 3) in the direction at an angle of 7 from the…

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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: Find the directional derivative of f(x, y) = Vxy at P(9, 1) in the direction from P to Q(12, -3).…

A: Given that: f(x,y)=xy        at P(9,1) in the direction of Q(12,-3)

Q: ) Find the directions in which the directional derivative of f (x,y) =4x2+sin (5 xy) at (1,0) has…

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Q: Find the directional derivative of h(x,y) = e*(sin y) at the point (1, T/2) in the direction of v =…

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Q: Find the directional derivative of the function f(x, y) = x² + y³ at the point (2, 1) in the…

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

A: given function f(x,y)=3x2-y2+5xy given point (2, -1) given direction u→=-3i-4j We have to find the…

Q: Evaluate the directional derivative of the function f=x^2-y^2+2z^2 at the point A (1,2,3) in the…

A: Point A(1,2,3) and Point B(5,0,4) ⇒AB→=5-1i^+0-2j^+4-3k^=4i^-2j^+k^ Now we have to find the…

Q: Find the directional derivative of f(x, y) = Vxy at P(3, 3) in the direction from P to Q(6, -1).…

A: Using partial derivatives at (3,3) in direction of PQ.

Q: Find the directional derivative of the function at the point in the direction given. f (x, y, z) =…

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Q: Find the directional derivative of f(x, y, z) = xy + z 3 at the pointP = (3, -2, -1) in the…

A: fx, y, z=xy+z3,  P=3, -2, -1. Now, ∂f∂x=y·1+0=y∂f∂y=x·1+0=x∂f∂z=0+3z2=3z2 Now, ∇fx, y, z=∂f∂x, ∂f∂y,…

Q: The directional derivative of f=8x²y-2xy²+3z at point P(1,1,2) in the direction 2âg+2ây-âz is

A: First we find the gradient of the function f and then unit vector.

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

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Q: Find the directional derivative of f(x,y) = sin(x+2y) at the point (1, -3) in the direction θ=3π/4

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

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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 derivative of f(x, y) = e*y + eY at the point (1,3) in the direction of the vector

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Q: , (a) Find the directional derivative of at (-2,1) in the direction u = ?-j. X.

A: Since you have asked a different question. I am answering the first one. Please post the question…

Q: Find the directional derivative of f(x, y) = ln(sqrt(x^2+y^2))  at (x, y) does not equal (0, 0)…

A: Since we have to find directional derivative of function f(x,y)  at (x,y)  toward the origin-…

Q: Find the directional derivative of the function f(x, y) = In(x + y²) at the point (1, - 1) in the…

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Q: Find the directional derivative of the function f(x, y) = ln(x³ + y*) at the point (2, 1) in the…

A: we will find the directional derivative

Q: Find the derivative of the function f(z) = 3z² +7z at I = a.

A: Given,            f(x) =3x2 + 7x  and x=a

Q: -2 In(x) Consider the function f(x, y) = 3y

A: We have to find the derivative of the function f(x,y) in the direction u=-5,2.…

Q: Find the directional derivative of the function f(x, y) = In(x² + y*) at the point (– 3, – 1) in the…

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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: Find the directional derivative of the function f(x, y) = In(x + y?) at the point (– 1, – 2) in the…

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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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