O Using part (a), compute the directional derivative of f in the following case: 12 3 4 f(x, y, z) = x, x= (e, e, 0), v = i+ Ti+ k 13 13° 13

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

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Q: Q5) Find the directional derivative of : w = x3 – xy² – z at point (1,1,0) in the direction Ā = 2i –…

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Q: Find the directional derivative of the function at P in the direction of v. √2 2 f(x, y) = x³ - y³,…

A: Given problem:- Find the directional derivative of fx,y=x3-y3 at point P8,3 in the direction of…

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: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + 2²; P(0,-4, –5);…

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Q: Q3: a) If W =F(x,y), where x =2hu and y =h² -u?. Find W +W b) Let G = what is the directional…

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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: Can you please provide the actual answer? This is not even close to being correct   Find the…

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

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Q: a) Find the directional derivative of the function f(x, y) = ry³ +x?y? – 2y at the point Po = (2, 1)…

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Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z?; P(2,5, 2); a…

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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: Find the directional derivative of f at Pin the direction of a. f(x, y) = 3x³y*; P(5, 1); a = 7 i –…

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Q: Find the derivative of the function at Po in the direction of u. x-y g(x,y)= xy+2 Po(1,-1), u=12i+5j…

A: Given :g(x,y)=x-yxy+2u=12i+5j

Q: Find the directional derivative of the function f(r, y) = xy +x?y? - 2y at the point Po = (2, 1) in…

A: Find the directional derivative of the function at  point.

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: ?. Then the value of the directional derivative in the direction (-3, 4) at the point when (-1, 1)…

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Q: Using part (a), compute the directional derivative of f in the following case: 12 v = 13 4 k 13 3 f…

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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: Find the directional derivative g(x, y) = √√√x² + y², of the function at P in the direction of v.…

A: solution is given below

Q: Find the directional derivative of f (x,y,z)=xy² +ze?»-6 in the direction of v = 6i– 3j+2k. 8)

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Q: The directional derivative of f(1, y) at the point P = (0, 4) in the direction of the origin is -2.…

A: Given directional derivative of fx,y at point P =(0,4) in the direction of O(0,0) is -2. Here,…

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

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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 the function f(r, y, z) = 3e" sin(ry) in the direction of v = 3i…

A: We have to find the direction derivative of given function.

Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 4x* y²; P(3, 2); a = 3 i –…

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Q: Find the directional derivative of f at P in the direction of a. f(г, у, 2) — гу + 2?; P(5, —4, 3);…

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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 14 O…

A: Here,

Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 6x*y²; P(1, 4); a = 12 i –…

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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(2,-2,5);…

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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: P1O.17 Determine the directional derivative of the function f(x,y, z)= J(x² + y*) in the direction…

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Q: compute the directional derivative of f in the following case: 12. 3 4 f(r, y, z) = x"², x= (e,…

A: We will find out the required value.

Q: The directional derivative of the function function = x - xyz + y? at the point (1, 2, -1) in the…

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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(-5,-4,…

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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: 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: Find the directional derivative of the function f(z, v) = /1+ z*y? 32 (1+ x*y? at the point (1, 1)…

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

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Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 17 tan Р(-18, 18); а %3D…

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Q: Find the directional derivative of the function at P in the direction of v g(x, y) = Vx2 + y2, P(5,…

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Q: Using the definition, find the Directional derivative of function f(x, y, z) = x? + 2y? – 3z? at…

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Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = V x2 + y2,…

A: The given function is gx,y=x2+y2, the given point is P5,12 and the given vector is v=3i-4j To find…

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

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Q: Find the directional derivative of f(x, y) = V xy at P(1, 9) in the direction from P to Q(4, 5).…

A: f(x,y)   = x y   , p(1,9)  , q (4,5)pq → =3, -4,  pq→  =5 p ^q = pq¯pq =35,45now       fx = y2x,  fy…

Q: 1. Detemine the directional derivative Duffor the given function in the indicated direction.…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you.  If…

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: Find the directional derivative of f at P in the direction of a. f (x, y) = 19 tan-1 (); Р(-20, 20);…

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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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