The directional derivative at (xo, Yo) is known to be 2 when the unit vector makes an angle of 30° with the positive x-axis, and 8 when this angle is 150°. Find the directional derivatives at (xo,Yo) in the direction of the vector A = = v3 i+ 2j.

Q: Given f(x,y)=sin(x)+cos(y) and v a unit vector forming an angle of θ with the x axis. What must be…

A: We have to find  the value of θ, (with 0⩽θ⩽180 ) where the directional derivative ∂f∂v (0,π/2) to be…

Q: In what direction from the point (1,-1) is the instantaneous rate of change of f(x.y) = 8x* – 10x?y?…

A:

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 of the function at the given point in the direction of the vector v.…

A:

Q: Find the directional derivative at (1,0) if Vƒ(1,0) = in the direction of the unit vector u = i?…

A: Given : ∇f(1,0)=<-4,3>   To Find: directional derivative at (1,0) in the direction of the unit…

Q: (플몰) V2 v2 2' 2 f(x, y) = x² – 3y², u и —

A:

Q: Compute the directional derivative of the function g(x,y) = sin (x(4x – 5y)) at the point P(3, – 3)…

A:

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

A:

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(xy)…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

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

A:

Q: Find the derivative, r'(t), of the vector function. r(t) = ( tan(8t), sec(3t), r'(t) =

A:

Q: Find the derivative, r'(t), of the vector function. r(t) = tan(8t), sec(4t),

A:

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

A:

Q: The directional derivative at (xo, yo) is known to be 2 when the unit vector makes an angle of 30°…

A: Given Information - The directional derivative at x0,y0 is 2 when the unit vector makes an angle of…

Q: Suppose that f (1,2) = 3 and that the directional derivative of f at point (1,2) in the direction of…

A: Given : f1,2=3 and the directional derivative of f at 1,2 in the direction of the vector i+j is…

Q: Evaluate the directional derivative Duf (3, 4) if ƒ (x,y) = /æ² + y² and u is the unit V vector in…

A:

Q: The directional derivative of a differentiable function f(x, y) in the direction of a unit vector u…

A:

Q: Find the derivative, r'(t), of the vector function. r(t) = ( tan(2t), sec(5t),

A: We have to find the derivative of the given vector function  r(t)=< tan(2t) ,sec(5t) , 1/t^3>…

Q: Compute the directional derivative of g(x,y)=sin(pi(5x-5y)) at point P(1,-3) in the direction…

A: Firstly, we calculate unit vector in direction of vector u.

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: The function is given as f(x,y)=5xy . The point is x=2 and y=8 inclined at angle θ=π3. The…

Q: Given the following vector problem, SOLVE for the directional derivative of f = 2xz2 – 3xy – 4x at…

A: For the solution follow the next steps.

Q: 4 3 Compute the directional derivative of the function g(x.y)= sin (T(X – 6y)) at the point P(2,3)…

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: At the instant of take-off, a long jumper has a forward (horizontal) velocity of 15m/sec and a…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

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

A:

Q: Let f (x, y) = x² + 4xy². Say the directional derivative Du(1,1) with u is the unit vector that…

A:

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

A:

Q: In what direction from the point (1,-1) is the instantaneous rate of change of f(x.y) = 8x* - 10x°y?…

A: According to question given thatf(x,y)=8x4-10x2y2-11y3

Q: Find the directional derivative at (1, 1) if Vƒ(1, 1) = (3,−1) in the direction of the unit vector u…

A: Use the formula of directional derivative.

Q: 9. Which is traveling faster, a car whose velocity vector is 217 +35j or a car whose velocity vector…

A: We are authorised to solve only one question, please repost remaining questions Magnitude of vector

Q: Write down the vector equations of the tangent lines to the traces for /(r, 3) = re-y² at (2,0) for…

A: To write the vector equation of the tangent line for the below function to the trace y=0.…

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

A:

Q: At the point P=(4,1) in the direction v =(i +j )/sqrt2, the directional derivative is approximately

A: Given that the point P4,1 and the direction is v=i+j2 We have to find the directional derivative at…

Q: The directional derivative of xy f(x, y) = x + y) at (1, 1) in the direction of the unit vector at…

A:

Q: Find the directional derivative of f(x,y, z) = yz +x? at the point (3, 2,1) in the direction of a…

A:

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

A:

Q: Given the following vector problem, SOLVE for the directional derivative of f = 2xz2 – 3xy – 4x at…

A:

Q: find the directional derivative of the function in the direction of the vector v

A:

Q: Let f(x, y) = sin(cy). Then the directional derivative of f in the direction of the vector at the…

A: fx,y=sinxy We have to confirm whether directional derivative of f in the direction of the vector…

Q: The directional derivative of xy f(x, y) = V2 (x + y) at (1, 1) in the direction of the unit vector…

A: We have ,  f(x , y) = xy2x + y   We know that , directional derivative at any point x , y is defined…

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

A: Solution-

Q: Find the directional derivative Duf(1, 1), where f(x, y) = x2 + y2 and u is the unit vector at an…

A:

Q: If asked to find the directional derivative of f(r, y) in the direction of a NON unit vector (a…

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: Find the directional derivative of the function f(r, y) = 1+5x/j at the point (5, 1) in the…

A:

Q: Find the directional derivative of the function f(x, y) = x²y° in the direction of the vector at…

A: Concept:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: First we find partial derivative with respect to x and y.

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: Solution