Find the directional derivative of the function at the given point in the direction of vector v. g(x, y, z) = (x + 4y + 3z)3/2, (2, 1, 1), v = 4j – k Dug(2, 1, 1) =

Q: Find the directional derivative of f(x,y, z) = xy + yz + zx at the point P(1, 1, 1) in the direction…

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Q: Find the directional derivative of f at point p in the direction of vector u. Where z - x f(x,y,z) =…

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

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Q: Find the derivative of the vector function r(t) = ta x (b+tc), where а 3 (—3, —4, — 2), b — (—2, —5,…

A: Topic:- vector and it's derivatives

Q: 1) For f(x,y, z) = x² – (1 – y)² + z². Find directional derivative of f at P(1,1,1) in the direction…

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

Q: Find the directions in which f increases and decreases most rapidly at P.. Also, find the derivative…

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

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

A: Answer is mentioned below

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

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Q: Find the directional derivative of the function f (x, y) = x² + xy at the point P, (1, 2) in the…

A: Topic:- directional derivatives

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

A: The given function is fx,y=7exsiny.    point: 0,π3   and   direction vector: v=-10, 24. Obtain the…

Q: Consider the function f(x, y) = y ln x - x ln y - . a Find the directional derivative of f at the…

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Q: 5. For a given function f(x, y) = Vx² +y² , what is the directional derivative of f at any point…

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

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Q: Calculate the directional derivatives of the function x²y x²+ y? for (x, y) +0 f(x,y) = for (x, y)…

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Q: Again just working on examples for exam, would like to see how you solve this to see if it is the…

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Q: The directional derivative of a function f(x, y, z) = xy² – xz + y² at the point Po (1, –1,0) in the…

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Q: Find the directional derivative of the function f(x ,y ) = x^2 + xy at the point P.(1, 2) in the…

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

Q: Ex.: Find the directional derivative of the function f(x, y) x'y + x'y at the point (1,1) in the…

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Q: Find the directional derivative D, f(2, –3, -3) for the function f(x, y, z) = ry + yz + zx in the…

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Q: Find the derivative of the vector function r(t) = ta x (b+tc), where (5,-4, 1), b = {(-4, –3,1), and…

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Q: Calculate the directional derivatives of functions Inx f (x,y) = x²+ y? in the direction of the…

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

A: In this first we calculate derivative of g function then get a unit vector in the direction of v. So…

Q: Find the directional derivative of the function in the direction of the unit vector u = cos e i +…

A: This question is based on del operator.

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

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

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

A: The objective is to find the directional derivative of the given function h(r,s,t) along the point…

Q: Find the directional derivative of the function f(x, y, z) = /ryz at the point P(2,2, 2) in the…

A: Topic-vector calculas

Q: Find the directional derivative of the given function at the point P in the direction of vector u .…

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Q: h (r, s, t) = ln (3r + 6s + 9t), (1, 1, 1), v = 4i+ 12j + 6k

A: We have hr,s,t=ln3r+6s+9t at 1,1,1 in the direction of v=4i+12j+6k

Q: Find the derivative of the vector function r(t) = ta x (b+ tc), where a = (4, -1,5), b = (-3,-3,-1),…

A: Given, the vector function      r(t)=ta×(b+tc),where       a=4,-1, 5, b=-3,-3, -1, and  c=1, 2, 2,…

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

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Q: Find the directional derivative of o = x2 + 2xyz – yz? at the point (1, 1, 2) in the direction of…

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

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Q: g(s, t) = 8 vt, (2, 4), v = 2i – j %3D

A: Consider the formula for the directional derivative in the direction of any vector v. First…

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

A: First I have written the definition of directional derivative in the direction of unit vector.To…

Q: Consider the function f(x, y) = y ln x - x ln y - . a Find the directional derivative of f at the…

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

A: Given: Function f(x, y, z) = x2y + y2z , point (1, 5, 6) and vector v = <2, -1, 2> To Find:…

Q: Find the directional derivative of function f(x,y)=x*e" at the point (1,1) and direction of vector…

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Q: Find the derivative, r'(t), of the vector function. r(t) = (e-t, 4t - t, In(t) r'(t)

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

A: Finding the directional derivative of the given function

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

A: g(s, t) =st(a) The gradient is just the vector of partial derivatives. The partial derivatives of g…

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

A: To find the directional derivative of the function at a point in the direction of the given vector,…

Q: Find the derivative of the vector function r(t) = ta x (b + tc), where a = (2,-2, 5), b (2,-5, 3),…

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

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Q: Calculate the directional derivatives of functions f(x, y)= x? – y? .2 in the direction of the…

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Q: Find the derivative of the vector function r(t) = ta x (b + tc), where a = (-5, 3, 2), b = (1,2,…

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

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Q: Find the derivative of the vector function ta x (b tc), where r(t) = (-1,1,-2) а %3 (-2,3, -1), ь 3…

A: Given vector function is,