Which of the following values is the directional derivative of f (x, y) = 3x² + xy – 2y² – yz + z? at the point (1, –2, 1) in the direction of (2, -2, –1)? - |

Q: Find the direction derivative of f(x.y.z)-xy'z at the point p(3,2,1)in the direction towards…

A: To find the directional derivatives

Q: EX Prove that the directional derivative of f(x, y) = y² + 2xy³ + x²y² at point (0, 1) in the…

A: What is Directional Derivative: The directional derivative of a scalar function represents the rate…

Q: Find the directional derivative of f(x, y, z) = -4x? + ly? – 4z2 at the point (0, -4, 2) in the…

A: Given function

Q: Find the derivative of the function f(x,y,z) = x² + 2y² – 3z² Po = (1,1,1) in the direction of at…

A:

Q: Find the direction derivative of f(x, y, z) = x²y -zx -yx at the point (1,-1,1) in the direction…

A: Directional derivative using gradient

Q: Find the directional derivative of f(x, y) = x² sin(2y) at (1, 7/2) in the direction of ở = 3i– 4j.

A:

Q: O Find the directional derivative of f(x, y) = 3x² – 3y² in the direction from P(-,0) to Q(0, 1).

A: Point is given so first find the direction unit vector then  dot product with divergent of f(x,y)…

Q: Find the directions in which the directional derivative of f (x, y) = ye*y at the point (0,2) has…

A:

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: Find the directions in which the directional derivative of f(x,y) = x^2 + xy^3 at the point (2,1)…

A:

Q: Find the directional derivative of f(x, y) = x2y3 + xy2 in the direction ~v =< −3, 7 > at the…

A: f(x, y) = x2y3 + xy2 Please see the white board for the partial derivatives at the point (-1,…

Q: What is the directional derivative of f(x,y)= 2x²+3y² at the point (1,1) in the direction of v =i-j?…

A:

Q: Find the derivative of the function f(z, u) = =*y – 4y° at the point Po(2, 1) in the direction of =…

A:

Q: If f(x,y) = ln(xy) + x2y2, in what directions is the second directional derivative of f(1,1) = 3?

A: Given function fx,y=lnxy+x2y2 Consider unit vector u⏞=12,32  Now, Du⏞f=∇f·u⏞             ∇f=fx,fy…

Q: Which of the following values is the directional derivative of f (x.y,z) = 3x2 + xy – 2y? – yz + z²…

A:

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 derivative of f at point P in the direction of u. f(x, y, z) = 6x² + 2y – 7z?, P = (8,–6,…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the directional derivative of f at the given point in the direction indicated f(x,y) = cos(xy),…

A:

Q: Find the derivative of the function f (x, y, z) = -9x + 5y – 10z at the point (-3, 6, 5) in the…

A: we have to find the following . I have explained in details please see the explanation and if any…

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 at the given point in the direction indicated by the angle θ.…

A: Given, 4. f(x,y) =xy3 - x2, (1,2) , θ = π/3

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

A:

Q: Find the derivative of the function at Po in the direction of u. f(x, y) = In( 6 x - 3 y), Po(-7, -4…

A:

Q: The derivative of f(x,y)=9xY at (e,1) in the direction of v=(4,3) is !!

A: TO FIND THE DERIVATIVE i.e DIRECTIONAL DERIVATIVE IN DIRECTION OF V= (4,3) at (e,1) STEPS 1. FIRST…

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

A:

Q: Find the directional derivative of Ax,y,2) = xy+ 4y²z+3xz? at the point (3,-1,2) in the direction of…

A:

Q: Suppose that f(x, y) = xy. The directional derivative of f(x, y) in the directional and at the…

A: Explanation of the solution is given below....

Q: Find the directional derivative of f(x, y) = √√xy at P(3, 5) in the direction of Q(3.920, 0.795). 1.…

A:

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

A:

Q: The directional derivative of f(x, y) (3, 4) is -In(x² + y²) at the point P(1, 5) in the direction v…

A: Definition used -          Directional derivative at the point -     The rate of change of f(x, y)…

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: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1, 1) in the direction of from…

A:

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

A:

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 f at the given point in the direction indicated by the angle 0.…

A:

Q: The derivative of ƒ(x, y) at P0(1, 2) in the direction of i + j is 2sqrt(2) and in the direction of…

A:

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) = In(e- 2y) at the point (0, 0) in the direction of 3i +…

A:

Q: 10. Let f(x, y) = x² + y³. Calculate the directional derivative of f in the direction of = (4, 3) at…

A: The given function is: f(x,y)=x2+y3Direction vector is:  v→=4, 3Given point:  P=(1, 2)

Q: Let f(2, y) = In(' + 2 xy). Find the directional derivative of f at the point (1,1) in the direction…

A:

Q: Find the derivative of the function at Po in the direction of u. x- 5y g(x,y) = Ро(1, - 1), и%3 3і +…

A: To find the derivative of the function  g(x,y)=x-5y5xy+7 at P0(1,-1)in the direction of…

Q: 8y If the directional derivative of f(x,y)D at (2,1) in the direction of (a, 2) is equal to zero,…

A: Given,            f(x,y)=8yx

Q: If f(x, y, 2) = cos(x - y)+e² , compute directional derivative of f at (5, 5, 0) in the direction of…

A:

Q: * Find the directional derivative of. f (x, y) = -2e* cos y : (0, 4) in the directic of v = (-6,8)…

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 4xy – 4y“, Po(-2, - 8), A…

A:

Q: Find the derivative of the function at Po in the direction of A. f(x, y, z) = xy + yz + zx, Po(1,…

A: Given query is to find direction derivative.

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

A:

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

A: