Evaluate the directional derivative Duf (2, 3) if ƒ (x, y) = and u is the unit vector in the same direction as (-3, 4).

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 1, 1) in the direction…

A:

Q: Let h(x, y, z) = ln(x² + y² + z²). (a) What is the direction of maximal increase of h at the…

A: Given function:  hx,y,z=lnx2+y2+z2 To find: a) Direction of maximum of h at the 1,1,1. b) The…

Q: If f (x, y) = 2x² – 2y², find the value of the directional derivative at the point (-2,-4) in the…

A:

Q: Define direction vector.

A: Define direction vector.

Q: f(x, 3) = In(x? + Y²òf function P(3,4) at the point of i = (9, 12) Directional derivative in the…

A:

Q: Find the directional derivative of f(x, y) = x/y at the point (4, 4) in the direction of the vector…

A:

Q: Find  vector z + vector y if vector z= and vector y= . graph

A:

Q: Prove that the vector given by (sin ysinh x + cos ycosh x) i + (cos y cosh x- sin ysinh x) j is a…

A:

Q: Suppose ƒ is differentiable at (9, 9), ∇ƒ(9, 9) = ⟨3, 1⟩, and w = (1, -1). Compute the directional…

A: Given that ∇ƒ(9, 9) = ⟨3, 1⟩. Note that w = (1, -1) is not a unit vector. Its unit vector along same…

Q: rative of the f he unit vecto p, then Ja + B|

A:

Q: Suppose that the directional derivative of a function f at a point P in the direction of the vector…

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: How do I find the domain and the derivative of the vector function

A: Domain is the set of all possible inputs for the function. So to find the domain of the given vector…

Q: Let I be the line passing through the point P=(3, -2, 1) with direction vector -[3, 2, -3]T. Find…

A: If we drop a perpendicular from a point P on a line  l then foot of perpendicular will be closest…