Pr. #1) Find the directional derivative of the function at the given point in the direction of the vector a. f(x, y, z) = 6yz + 11r, (-1,-1, 1), a i-7j- 3k

Q: Find the directional derivative of f(x,y, z) = xy + yz + zx at the point P(1, 1, 1) in the direction…

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Q: Let = (3, 4, 12) . Find the directional derivative of f(z, y, 2) =1– y² +32³ in the direction of v.

A: Consider the given function, fx,y,z=x-y2+3z3 and v=3,4,12 Now, find the derivative of the function…

Q: 1. f(x, y) = 1+ 2x/y, (3,4), v= 4î – 3ĵ |

A: According to our company policy we can answer only first question and rest can be reposted. Thanks

Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The objective of the question is evaluate the directional derivative at the given point and…

Q: 2. Find the directional derivative of o = yx2 +x²z + 3xyz in the direction of vector n = î + 2 ŷ -2·

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Q: The directional derivative of x,y) - 16/x - 13y at the point (11,8) in the direction of the given…

A: The direction derivative  of f(x,y) in the direction of unit vector, is defined as follows.

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

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Q: Find the directional derivative of f(x,y,z)=z^3−x^2y at the point (-1, 1, -4) in the direction of…

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Q: Find the directional derivative of the function f (x, y) = 7x² – 2.xy at the point P,(-3,5) in the…

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Q: Find the directional derivative of the function at the given point in the direction of the vector…

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Q: Q 4. (5+5) (a)Find the directional derivative of f(x, y, z) : at the point P(1,0, –3) in the z+y…

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Q: Find the directional derivative of the function f (x, Y, z) = 6x² –- 2xy + yz in the direction of…

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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: Find the directional derivative of f(x,y)=yln(x+y) at the point (-3,5) in the direction of the…

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Q: In what direction ữ is f(x, y, z) increasing most rapidly at the point (1, 1, 0)? Give your answer…

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Q: f(x, у, 2) %3 ху+yz+zx What is the derivative of (a) 4 this function in the 44 (b) 7 direction of…

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Q: For the function f(x,y)=x^3−2x^2y−y^2−y, which vector is normal to the level curve at the point…

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Q: a) Compute the directional derivative of the function shown below at the point (1, 0, -2) in the…

A: Since, you have posted multiple question. I am answering first one. Please post again with specific…

Q: For f(x,y, z) = x² – (1 – y)² + z?. Find directional derivative of f at P(1,1,1) in the direction of…

A: The directional derivative of a function f  in the direction of the vector u is given by…

Q: Suppose we know that for a function f we have Vf(x, y) = (6x, 6). Find the directional derivative of…

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Q: 2. Find the directional derivative of the function f(x,y,z) = xy? – 4x?y + z² at (1, -1, 2) in the…

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Q: Find the directional derivative of f(x,y) = x² + y² – 2x – 4y at the point (-2,3) in the direction…

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Q: c) Find the directional derivative of f(x,y) = 10 – 3x2 + at P(2,–3) in the direction of the vector…

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Q: Find the directional derivative D, f(2, –3, -3) for the function f(x, y, z) = ry + yz + zx in the…

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Q: 1. (a) Find the rate of change of the function f(x,y) = x² + 3ry at the point (3,2) in the direction…

A: Given fx,y=x2+3xy point 3,2 vector v=3i+4j

Q: 2. Consider the function f(x, y) = a) Find the directional derivative of f in the direction of the…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: Here we use the formula, Dvf(x,y)=∇f(x,y).v

Q: b. Find the directional derivative of the function f(r, y, z) = re" + ye + ze" at the point (1, 1,…

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Q: Find the directional derivative of f(x, y) = 10 − 3x^2 + (y^4)/4 at P(2, −3) in the direction of the…

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Q: a) Compute the directional derivative of the function shown below at the point (1, 0, -2) in the…

A: The given scalar field is - f(x,y,z)=(x^2)z+(y^3)(z^2)-xyz

Q: Q2) Find the directional derivative of F(x,y,z)= sin(yz)+In(x³) at the point(1,1,7) in the direction…

A: This question is related to vectors, we will use gradient of function to solve this.

Q: Q18:- Find the magnitude of the maximum and minimum directional derivatives of the function w = x -…

A: Given function is w=x2-3xy-y2+2xz2+6yz

Q: Choose the direction vector for which the function f defined by f(x, y)= sin(3x) cos(11y) has the…

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Q: B-For the surface z² = x² + y² find the directional derivative at the point (√2, √2,-2) in the…

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Q: Find a unit vector that is normal to the level curve of the function f(x, y) = 5x + 6y at the point…

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Q: Find the directional derivative of o = x2 + 2xyz – yz? at the point (1, 1, 2) in the direction of…

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Q: a) Compute the directional derivative of the function shown below at the point (1, 0, -2) in the…

A: NOTE:- As per our guidelines, We’ll answer the first question since the exact one wasn’t specified.…

Q: 12. What is the directional derivative of f(r, y, z) = ba?y2² +x² + y? +22 in the direction of (8,…

A: Given that fx,y,z=bx2y2z2+x2+y2+z2 in the direction (8,9,12) find out the directional derivative

Q: Which of the following is the directional derivative of f(r, y) = z'y at the point (-1,-1) in the…

A: The directional derivative formula is given by Duf(x,y)=∇f(x,y)⋅u, where u is the unit vector and…

Q: Q18:- Find the magnitude of the maximum and minimum directional derivatives of the function w = x3 –…

A: Directional derivative are given by gradient of function

Q: Q4A: The directional derivative of f(x,y)=-2 at the direction of vector A=i+j and the directional…

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Q: Compute the directional derivative of the function f(x,y) = - xy + y at the point P(0, - 9) in the…

A: Solution-

Q: Q1. Find the directional derivative of = x²z + 2xy² + yz2 at (1, 2,-1) in the direction of vector…

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Q: 2. Given f(x,y)=x(y-1)² (a) What is the directional derivative of fat (2,3) in the direction of the…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: Given: Function f(x, y, z) = x2y + y2z , point (1, 5, 6) and vector v = <2, -1, 2> To Find:…

Q: c) Find the directional derivative of f (x, y) = 10 – 3x? + at P(2, –3) in the direction of the…

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Q: p1. Find the directional derivative of o = x²z+ 2xy² + yz? at (1, 2,-1) in the direction of vector…

A: on using gradient we get

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

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Q: Find the derivative of the vector function ta x (b tc), where r(t) = (-1,1,-2) а %3 (-2,3, -1), ь 3…

A: Given vector function is,