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

Q: Find the directional derivative of z = f (x, y) = x²y³ – 3y² at (-3,4) in the direction of the…

A: Use directional derivative formula which is mentioned in solution.

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 directional derivative of the function at P in the direction of PQ.

A:

Q: Find the directional derivative of f(x, y) = (xy)^1/2  at P(6, 6) in the direction from P to Q(9, 2)

A: The directional derivative (D.D) of function f at point P in the direction of vector a is given by,

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: Find the directional derivative of the function at the given point in the direction of the ved f(x,…

A: The formula for the directional derivative is given by , where is gradient of the function, f(x,y)…

Q: find the directional derivative of f(x,y,z)=3e^xcos(yz) at P(0,0,0) in the direction of A=2i+j-2k

A: First find out the partial differentiation of f(x,y,z) and then put the values (0,0,0) and then for…

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 directional derivative of f(x, y) = cos(x) + y² at (T,2) in the direction of (3, –4).

A:

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: Find the directional derivative of f(x, y) = In(e"- 3y) at the point (0,0) in the direction of 3i +…

A: We are asked to find directional derivatives of function.

Q: The directional derivative of f(x, y) = 2e* cos y at (0, ) in the direction of v = (-6, 8) is

A:

Q: Find the directional derivative of the function f(x,y,z) = tan (xýz) At point (1,2,3) İin the…

A: The solution is given as

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

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 4xy + 3y², Po(4, - 2),…

A:

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

A:

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

A:

Q: Find the maximal directional derivative magnitude and direction for the function…

A: Consider the given function and point, f(x,y)=x3+2xy-cos(πy),(3,0) Now, find the derivative with…

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

A:

Q: Find the directional derivative of f at the point p in the direction of a. F(x,y)=y² ln x; p=(1,4)…

A: The given function is Fx,y=y2 lnx with p=1,4  and  a=i-j. Computation 1: Obtain gradient of f  as…

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=3 ex cos (yz), Po(0,0,0),…

A: Solution: f(x,y,z) =3exCos(yz) P0=(0,0,0)

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 the function at point P in the direction of v. h(x, y, z) = xyz,…

A:

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 A f(x,y,z) = 3 e* cos (yz), Po(0,0,0),…

A:

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

A: Given, f(x,y)=x2+4y2 at the point P=(3,2)

Q: nd the derivative of (z.x)= X+c Cos (27 X) Point (0,2,1) in the direction at of V=i-sj+k

A: Directional derivative is dot product of gradient and normalised vector.

Q: Find the directional derivative of h(x,y) = e*(sin y) at the point (1, T/2) in the direction of v =…

A:

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: Find the derivative of the function at Po in the direction of vector A h(x, y, z) = cos(xy) + e>% +…

A:

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

A: The gradient is just the vector of partial derivatives. The partial derivatives of f at the point…

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

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Q: Let f(x, y) = sin(x – y). Calculate the directional derivative of f in the direction of v = (1, 1)…

A:

Q: Find the directional derivative of f(x, y, z) = x²y²z + 4xz at (-1,2,1) in the direction 2i + j +…

A: We have to find the directional derivative of f(x, y, z)=x2y2z+4xz at (-1, 2, 1) in the direction…

Q: Find the directional derivative of the function in the direction of u = cos(e)i + sin(@)j. F(x, y)…

A: Explained below

Q: The directional derivative of f(x, y) = e" cos Y at (0, ) in the direction of v = (-6, 8) is

A:

Q: Find the directional derivative of f at the given point in the direction indicated by the angl f(x,…

A:

Q: f(x, y) = e2Y sin(x), P(0, 0), Q(2, 1)

A: Use the formula for the directional derivative and simplify.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

A:

Q: 23. Find the directional derivative of f(x, y) = *+y at P(1,0) in the direction of Q(-1,-1).

A:

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

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: 1. Find the directional derivative of f(x,y) = y²e²" at (0, 1) in the direction of v =.

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Q: vy B. Find the derivative of function f(x, y, z) = 3e* cosxy + ex² + Inzx at point P(1,0,) in the…

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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

A:

Q: Find the directional derivative of the function at P in the direction of v. f (x, y) = 3x – 4cy+ 9y,…

A: