Let a function f(x, y, z) be such that Vf(P)-[4, 3, 2] The value of directional derivative D,f(P) where [-1, 1, 1]is given by V3 Ο Α. V3 1 B. 10 O D. None of these

Q: 3. Find the value of the directional derivative at the particular point Po for the given function in…

A:

Q: Find the directional derivative of the function at P in the direction of v f(x,y,z xy + yz + xz,…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: 9-18 Find the directional derivative of f at P in the direction of a. 16. f(x, y, z) = y - Vr? + z?;…

A: The given function is: f(x,y,z)=y-x2+z2P=(-3,1,4)a→=2i^-2j^-k^

Q: The maximum directional derivative of the function f (x, y, z) = x'y°z° at the point (1, 1, 2) is a)…

A: Given problem:- Find the maximum directional derivative of the function f(x, y, z) = x³y³z³ at the…

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z?; P(2,5, 2); a…

A:

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

A:

Q: Given f(x,y)=3.xy² -2y+5x²y° . (i) Compute the first order derivatives f, (x, y) and f,(x,y)· (ii)…

A: Given function is  f(x,y)=3xy2-2y+5x2y2

Q: { z sin a). if (x, y) # (0,0) 2. Determine if a function f: R2 R defined by (. 9) = BE 0, if (KJ) =…

A:

Q: 3. Find the value of the directional derivative at the particular point Po for the given function in…

A:

Q: 1) Find the directional derivatives as a shown function of f at P (1,2,3) in the direction from P to…

A: Consider the function f(x,y,z)=x3y-yz2+z. P=(1,2,3) and Q=(4,5,2). Directional derivative of…

Q: Let a function f(x, y, z) be such that Vf(P)=[2,4, 3]. The value of directional derivative D,f(P)…

A: For directional derivative take dot product of gradient and unit vector

Q: 1) Find the directional derivative of f at the given point P in the direction of the point. Q- f(r,…

A:

Q: f the function. [(x, y) = x²y³ + x, t) = √√√x In r =tan xy (x, y) = x² = e²/(u + 11²)

A:

Q: When we calculate the directional derivatives of the function f(x,y,z) = x3 +y* ++z° 4 at the point…

A:

Q: Find the linearization L(x,y) of the function f(x,y) = 8x – 7y + 8 at the points (0,0) and (1,1).…

A:

Q: 7 For the function f(x,y) =x' e Oxy, find fy, fy, f,(- 1,5), and f,(1,3). x' 'y'

A: take the partial derivative with respect to x

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; P(3,4,–4); a…

A:

Q: (iii) Find the directional derivative of f at the given point in the direction of v. f(x, y, z) =…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1. Find the directional derivative of the function f(r, y, 2) = 3e" sin(ry) in the direction of v =…

A: 1.directional derivative formula = depf.n Del f = i∂f/∂x + j∂f/∂y+ k∂f/∂a given f = 3exsinxy…

Q: a sin (), it (, u) + (0, 0) x²+y? 2. Determine if a function f : R² → R defined by f (x, y) = 0, if…

A:

Q: Q.3 Let f(x, y,z) = y+ y² tan xyz Find the directional derivative Duf in the direction of u = at (1,…

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

Q: Let f (x, y, z) = xz cos(y). Find the directional derivative of f at (1,0, 2) in the direction of v…

A:

Q: dw Evaluate dv at (u. v) = (1,2) for the function w(x,y) = xy² – In x;x = eu+v,y = uv.

A:

Q: Let f(x, y, z) = y*x cos(27) + tan-(4z). Then find the directional derivative of f at the point Po…

A:

Q: Find the directional derivative of the function at point P in the direction of v. 3 f(x, y) = In(x2…

A:

Q: Find the directional derivative of f at P in the direction of a. f(x, y, z) = xy + z²; P(2,-2,5);…

A:

Q: Suppose f is a differentiable function of x and y, and g(u, v) = f(e" + sin(v), eu + cos(v)). Use…

A:

Q: compute the directional derivative of f in the following case: 12. 3 4 f(r, y, z) = x"², x= (e,…

A: We will find out the required value.

Q: 1. Consider the function f(x, y, z) = Find (a) the gradient of f; (b) the directional derivative of…

A:

Q: نقطتان )2( Suppose u and v are differentiable functions of x. Use the given values of the functions…

A: We will find the derivative using formula and the evaluate the derivative of the ratio (u/v) at x =…

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; P(-5,-4,…

A:

Q: Let the differentiable function z=f(x,y) be given such that x=t?uv , y=u+tv² . When dz = 4 and (1,2)…

A:

Q: Using the formula f(x+th)-f(x) t f'(x)= lim: h→0 and admitting the existence of the derivatives of…

A: a) f:R3→R2 defined by fx,y,z=x2+y , x+y+z2 also given z=1,1,2 , h1,1,2 using the formula…

Q: 9-18 Find the directional derivative of f at P in the direction of a. I 10. f(x, y) = 9x³ – 2y³;…

A:

Q: 8. Let f(x,y,z) = xy² + yz² + zx². The directional derivative of f(x,y,z) at the point P = (-1,1,2)…

A:

Q: 8. The second directional derivative of a function f(r, y) is D²f(x, y) = D„[D„f(x,y)]. If f(r, y) =…

A: Consider the given function, fx=x3+5x2y+y3 the formula for the second directional derivative of a…

Q: 5. Let f(x, y) = xe" + cos(xy) and P: (2,0). %3D A. Find the directional derivative of f at P in the…

A:

Q: nd the gradient of the function at the given point. w = x tan(y + z), (12, 13, -11) W12, 13, -11)…

A:

Q: 1. Find the value of the directional derivative at the particular point Po for the given function in…

A:

Q: Using the formula f'(x) = lim h→0 f(x + th)-f(x) t and admitting the existence of the derivatives of…

A: Introduction: In three dimensional Euclidean space, the addition and multiplication of two vectors…

Q: How are the directional derivative and partial derivative related (more information in the image)

A: The correct answer is the first option i.e. option A.

Q: A) find the directional derivative of f at P f(x, y) = : x +y X- y. P(-1, –2); 0 = 1/2 х — у B) Find…

A:

Q: Suppose f is a differentiable function of x and y, and g(u, v) = f(e" + sin(v), eu + cos(v)). Use…

A:

Q: 1. Find the directional derivative of the function f (x, y, z) = In (3x + 6y + 9z) at the point…

A: To find: the directional derivative of the function f(x,y,z)=ln (3x+6y+9z) at P1(1,2,3) in the…

Q: When we calculate the directional derivatives of the function .4 3 f(x, y,z) = x + y* + z° at the…

A:

Q: dw Evaluate at (u,v) = (5,3) for the function w(x.y) = xy² - In x; x = e" +V, . y = uv.

A:

Q: F(x, y, z) = (y²z + 2xz2)i + 2xyzj + (xy2 + 2x²z)k, C: x = Vt, y = t + 3, z = t2, 0sts 1 %3D (a)…

A:

Q: Let f(x, y, z) = 5x – y + z?. Find the maximum value M for the directional derivative at the point…

A:

Q: In Exercise find the directional derivative of f at the point P in the indicated direction. f(x, y)…

A: Since you have asked more than 3 questions, I am solving first 3 questions. Please repost the other…

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; _P(-3,3,1);…

A: