Find the derivative of the function f(x,y,z) = x² + 2y? – 3z2 at the point v =< 1,1,1 >. Po = (1,1,1) in the direction of

Q: Find the directional derivative of the function xy2 + yz2 + zx² along the tangent to the curve x =…

A:

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: 2. Find the derivative of the function at PO in the direction of u. f(x,y)=6x-7y, P0(-7,-2), u=4i-3j

A: We have to find derivative

Q: Find the direction derivative of f(x, y, z) = x²y -zx -yx point (1,-1,1) in the direction 3i+4k x at…

A:

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 derivative of the function at P in the direction of A g(x, y) = x - (v² /x)+ /3 sec*(2xy),…

A: To find: The derivative of the function at P0=1,1 in the direction of  A=12i+5j Given information:…

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: z = Vx4 + yf, fz (1, 2)

A:

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

A:

Q: he derivative of f(x,y)=10x^y at (e,1) in the direction of v = is

A: From the expression of the directional derivative:   D.D=∇fpx,y,z·a→a→   Given:…

Q: Find the directional derivative of f(x, y) = x² - 2xy at the point (1, -2) in the direction from…

A: directional derivatives

Q: What is the directional derivative of the function f(x.y)-2xy-3y at point p.- (5,5) in the direction…

A: To find: The directional derivative of the function f(x,y)=2xy-3y2 at point P=(5,5) in the direction…

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

A:

Q: Determine the derivative of the function defined by h(x,y) = Arctan (2) + V3Arcsin () at the point…

A:

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 derivative of the function at P0 in the direction of u. f(x, y, z) = -9x + 3y + 8z, P…

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 derivative of the function f(x, y) = 2x² – y² at the point M = (1, 1) in the direction…

A: We have to find the derivative of the function fx,y=2x2-y2 at the point M=1,1 in the direction…

Q: Use differentiation to find the gradient of the curve y : = ax sin(bx) at x = 3.

A: The solution is given as

Q: Find the derivative of y with respect to x. y = (3x + 4)* dy %3D dx II

A:

Q: Find the derivative of the function at Po in the direction of u. 3x f(x, y) = tan -1 , P0(-2, 3), u…

A:

Q: Find the derivative of y with respect to z. y=5(2%) dy dz

A:

Q: Find the derivative of the function. 2x y = /3 cos(x) m cos(u") du y' =

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 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 the function f(x, y) = x² + y³ at the point (2, 1) in the…

A:

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

A: We can solve this as follows:

Q: Find the derivative of the function at the given point in the direction of A. f(x.y) = 6x+10y,…

A:

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(x, y, z) = xy + z 3 at the pointP = (3, -2, -1) in the…

A: fx, y, z=xy+z3,  P=3, -2, -1. Now, ∂f∂x=y·1+0=y∂f∂y=x·1+0=x∂f∂z=0+3z2=3z2 Now, ∇fx, y, z=∂f∂x, ∂f∂y,…

Q: Calculate the derivative of y with respect to x, if x³/2 + y¯3/2 =7. dy dx

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:

Q: Find the derivative of y with respect to z. y=3 (2°) dy dz II

A: We have to find the derivative of y with respect to z when y=3z9 Taking log both sides,…

Q: Find the derivative of the function at the given point in the direction of A. 3) f(x, y, z) = -10x+…

A: Here initially we need to find out the partial derivative of the given function to find out the…

Q: Find the derivative of f(x, y) = (2x – y°, sin(ry), r²y*)

A: Given f(x,y)=2x-y3,sin(xy),x2y3 differentiate f(x , y) with respect to x we get…

Q: find the derivative of the function at P0 in the direction of u. h(x, y) = tan-1 (y/x) + sqrt(3)…

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 y with respect to v. y=v1-v2 +5 cos - 1, y = dy dv II

A:

Q: find the derivative of the function at P0 in thedirection of v. ƒ(x, y) = 2x2 + y2, P0(-1, 1), v =…

A: Given: fx,y=2x2+y2  We know that, The direction of v is the unit vector obtained by dividing v by…

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 =.

A:

Q: The total derivative of the function f(x, y) =3x'y- xy is

A: Find the total derivative

Q: Find the derivative, or y', of ³ – Vy = ¿y² + 6 at (2,1).

A:

Q: -2 In(x) Consider the function f(x, y) = 3y

A: We have to find the derivative of the function f(x,y) in the direction u=-5,2.…

Q: Find the derivative of f(x,y) = xe² +cos(xy) at the point (2,0) in the direction of V = 3i – 4 j .

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the derivative of f(x, y) = e- x ln(y² + 1) at the point R(4,0) in the direction of w = (2, 1).

A: NOTE: Refresh your page if you can't see any equations. . the given vector is find the unit vector

Q: Find the derivative of the function f(x, y) = x²y – 4y3 at the point Po(2, 1) in the direction of v…

A: The given function is:  f(x,y) = x2y - 4y3

Q: The directional derivative of f(r, y) =-e" cos y at (0, 5) in the direction of v = (-6, 8) is

A: Given that fx,y=-excos y at0,π4and v=-6,8