- 4T Find the directional derivative of f(x, y) 3x + 7y at the point (1, 7) in the direction 0 %3D 3 radians.

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 f at the point P in the indicated direction f(x,y) = arctan y/x;…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

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: Find the directional derivative of f(z, y) = In(e"- 3y) at the point (0, 0) %3D in the direction of…

A: Topic- Direction derivatives of function using partial differentiation .

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 f at P in the direction f (x, y) = 9 tan-(2 P(-10, 10); a = -1…

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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: Find the directional derivative of f at the point P in the indicated direction f(x,y)=(x-y)/(x+y);…

A: We have to find the directional derivative of f at the point P in the indicated direction.…

Q: b) Find the directional derivative of f (x, y) = xy + e*°vy + 1 at (-1,1) in the direction of the…

A: f=xy+ex3y+1 take the partial derivative with respect to x   fx=∂∂ xxy+ex3y+1 fx=∂ ∂ xxy+∂ ∂ xex3y+∂…

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: 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: 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: b) Find the directional derivative (D.) of the function at P in the direction of PQ f(z, y) = sin 2z…

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Q: nd the directional derivative of the function f(x,y)=2x²y²+3xy at the point P=(2,-3) in the…

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Q: Find the directional derivative of f(x,y) = x²y at the point P(-5,5) in the direction of v = 3i –…

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Q: Find the directional derivative of the function at P in the direction of v.  f(x,y) = x2y , P(-5,5)…

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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: Evaluate the directional derivative of the function f =x² - y° + 2z? at the point A (1,2,3) in the…

A: The directional derivative of a function f at a point a in the direction of a vector v is…

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: Q2 / Find the directional derivative of f(x.y.z) 4xy +5xz2 +6yz2 At the point P(3,1,4) in the…

A: ∂f∂x=4y+5z2∂f∂x=84∂f∂y=4x+6z2∂f∂y=108∂f∂z=10xz+12yz∂f∂z=168Therefore, the gradient is∇f (3, 1, 4)…

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

A: Directional derivative of f in dircetion of u is given by=  (grad f).u Here we first calculate…

Q: Find the directional derivative of the function f(x, y, z) = 3e" sin(xy) in the direction of v = 3i…

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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 derivative in the direction f (x,y) - 11 - 8x²-64² 2 2 of the function The directional dori…

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Q: Determine the directional derivative of f at the specified point and direction. f(x) = x³ + y³ – 3x?…

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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: Q1: a) Find the directional derivative of S = In(2x +3y) at point (-1,1) in the direction of 4i – 3j…

A: (a) Given S=ln(2x+3y) Differentiate S partially with respect to x and y Sx=22x+3y…

Q: Find the directional derivative of the function at the given point in the directic h(r, s, t) =…

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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: (d) The directional derivative of f(r,y) = re-2y at the point (1,0) in the direction (1,3) is: A. B.…

A: The directional derivative of f(x,y)=xe-2y at the point (1,0) in the direction of (1, 3).

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

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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: 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 derivative of the function at Po in the direction of u. 2x-y g(x,y) = 5xy +6 Po(1,-1),…

A: We need to find derivative of the function.

Q: H.W: 1. find the derivative of the function f(x, y, z)= xy + yz + zx ,at the point P(1,-1,2) in the…

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

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Q: -57 Find the directional derivative of f(r, y) = 4x + 2y at the point (10, 8) in the direction 0 : 3…

A: Directional derivative of a function f(x,y) at (a,b) in the direction u id Duf(x,y)=∂f∂x·u1+∂f∂y·u2…

Q: Find the directional derivative of f(x, y) = In(e* y) at the point (0,0) in the direction of 3i + 4j

A: We will use formula for finding directional derivative.…

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: Find the directional derivative of f (x, y) = e" /Ty at the point (1,16) in the direction of the…

A: From the given problem:   fx,y=exxy ; p1,16   And the direction of the negative y- axis means :…

Q: Find the directional derivative g(x, y) = x² + y², of the function at P in the direction of v. P(5,…

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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: Find the directional derivative of f (x,y)=2x² cos 2y at 2, in the direction of 3i+4j. 2 8 (a)- 5 8…

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Q: Find the directional derivative of the function at P in the direction of v. f(x,y)= 3x-4xy +8y,…

A: Given query is to find direction derivative of f.

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: 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 f(1, y) = Ie – ye² at (0,0) in the direction of w = 5i – 25.

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Q: Which of the following is the directional derivative of the function f(x,y)= xy² – 1 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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