3x at P(3,0) in the I + y Find the directional derivative of f(x,y) direction of Q(0, -1). NOTE: Enter the exact answer. Duf =

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: Find the directional derivative of f at P in the direction of a. f(r, y, 2) = xy + z²; P(0,3,1); a =…

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

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Q: 20x at P(4,0) in the x + y Find the directional derivative of f(x,y) direction of Q(2, –1). NOTE:…

A: The expression for the directional derivative of the function f in the direction of u is:…

Q: Q2: a) If W =F(x,y), where x =v -g and y = 2vg calculate W +W, b) What is the directional derivative…

A: Given that w = Fx,y  , where x = v2 = g2 and y = 2vgWe have to calculate wx2 + wy2Now, we know that…

Q: 1. The temperature at the point (r, y) on an unevenly heated plate is given by T = f(r, y) = 100+…

A: Given f=100+5x2+15x+10y2gradient of f∇f=∂f∂xi+∂f∂yj     =10x+15i+20yjAt (2, 1)∇f=10x+15i+20yj…

Q: Q3/ Find the directional derivative of the function f(x,y,z)=xy+yz+zx at the point Po(1,-1,2) in the…

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Q: The directional derivative of fhe finction f(x, y, z) =x²z+ xyz + y² in the direction of u-2i +j-k…

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Q: 3. Find the value of the directional derivative at the particular point Po for the given function in…

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Q: p) What is the directional derivative of /(x,y,z)=(x+2y+3z)* at point (1,-1,1) in the direction of…

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Q: 11. Find the directional derivative of f at the given point in the direction indicated by the angle…

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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: Calculate the directional derivative of y = xz + y? in the direction of 20 – ŷ + 32 at the point (2,…

A: Given that ψ=xz+y2and the direction vector2x⏞ -y⏞+3z⏞The point p0=(2,0,-1) To find the directional…

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: F(x,y) = A/ x^2 +y^2 Find the direction of the maximum increase of the directional derivative at…

A: Maximum increase of directional derivative will be  = 2A√17/289 in the direction as I have mentioned…

Q: 2. Given the function f(x, y)=3x²y + 2xy-y, a) find the value of the directional derivative of the…

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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 derivative of the function at Po in the direction of u. X- y g(x,y) = Po(- 1,1), u= 12i +…

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Q: Find the directional derivative of f at the point P in the direction of a. i-j f (x, y) = 2x3 – 6y³;…

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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 the fiunction f (x, y, z) = x²z+ xyz + y² in the direction of u = 2i +…

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Q: Find the directional derivative of k(r, y) = 3edr sin(y) at the point (0, ) in the directi

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Q: What is the directional derivative of the function f (x, y) = 2xy- 3y2 at point po- (5,5) in the…

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Q: Q3] Let f(x, y, z) = x In y- e.Cakulate the directional derivative of fat point (-5, 1, -2) and…

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Q: Find the directional derivative of the function at point P in the direction of v. 3 f(x, y) = In(x2…

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Q: 5. For ø = z sech¬²[y tan¬²(In x)], find the directional derivative when dx = 2dy = -3dz at a point…

A: Given dx=2dy=-3dz⇒dx6=dy3=dz-2 v=6 i+3 j-2 k ϕ=zsech-1ytan-1ln x ∇ϕ=∂∂xi+∂∂yj+∂∂zkzsech-1ytan-1ln x…

Q: 7. Given (x, y)= x' + y² a) Find the derivative at P(1,1) in the direction of " = u,i +u ;j b) In…

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Q: 10x Find the directional derivative of f(x,y) = at P(5,0) in the x + y direction of Q(4, –3). NOTE:…

A: Here is the solution:

Q: 1. Let f(x, y) = x cos(2x + y). a) Find the value of the directional derivative of /(x, y) at| in…

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Q: 6. Given f(x,y)= %3D y a) find the directional derivative of f(x,y) at (1, -2) in the direction of…

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Q: B. Use the definition of directional derivative to solve Duf(x0, Yo, zo) at point P(xo, Yo%o) where…

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Q: 0Y Find the direction derivative of fcxy)=xy at the paint (2,1), by the dirction of v- i-j

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Q: 25x at P(5,0) in the x + y Find the directional derivative of f(x, y) direction of Q(2, –2). NOTE:…

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Q: What is the directional derivative of the function f (x, y) = 2xy-3y² at point po- (5,5) in the…

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Q: Find the directional derivative of f at the point P in the direction of a. f (x, y) = 5x³ – 6y³;…

A: The directional derivative of function f in the direction of u is: Duf=∇f.uu Given, the point P(1,0)…

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: 5. For ø = z sech¯³[y tan¬²(In x)], find the directional derivative when dx = 2dy = –3dz at a point…

A: Given function is ϕ=zsech-1ytan-1lnx we have to find the direction derivative of given function when…

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: 1. Find the value of the directional derivative at the particular point Po for the given function in…

A: Given that gx,y=y2tan2x ; U→=-32 i^+12 j^ ; P0π3,2We need to find the value of the dorectional…

Q: F(x,y) = In x+y of the function at the point %3D P( 3,4) ond V= [ = -7+ 2 find the derivative %3D in…

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Q: (2.2) The directional derivative of f (E, y) at P(1,2) in the direction of i+j is 2v2 and in the…

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Q: 1. Find the value of the directional derivative at the particular point Po for the given function in…

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Q: Q2: a) If W = F(x ,y), where x =v²-g and y = 2vg calculate W +W, b) What is the directional…

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Q: x² The directional derivative of f(x,y,z)=In 1+yz from P to Q(-1,-1,2) is given by... (Correct to…

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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: Q:4) Find the directional derivative of the function f(x.y,z)-x²+y*+z°-2 at the point po(1,1,1).

A: here we are not given the vector in whose direction we need to find the directional derivative so…

Q: Find the directional derivative of f(x, y) = /xy at the point P = (2,8) in the direction of the…

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Q: 4. If f(x, y, z) = x sin yz, (a) find the gradient of f and (b) find the directional derivative of f…

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Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; _P(-3,3,1);…

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