If w = 2x² + 2y + 2z+ cost and x+y=t, find the partial derivatives below. G. (22) X.X C. a. (W) b. ду ду x, y z, t X, Z d. (Z) X. ! (DN), at y, t e. X, Z r. ( M ) X. Z f. at y,

Q: IX. Į F dF where F = (x,y) and C is the straight line from (2,3) to (4,0)

A:

Q: VI. Determine the following partial derivatives (it is essential to show the procedure) 1. fy 2.fy =…

A: The partial derivative of a function f(x,y,z) is the derivative of f(x,y,z) with respect to…

Q: Sketch the level curves of the function f(x, y) = 6-3x - 2y for c= -6, 0, 6, 1, 2

A:

Q: Find the derivatives for the following function: a. Z-f(x, y)-6e*+4x*y- 8lny ze Find the partial…

A: z=6ex+4xy-8lny firstly differentiate partially w.r.t x∂z∂x=6ex+4y(1)-0∂z∂x=6ex+4y

Q: Let F(u, v) = e"t", u = x°, v = 5xy. Use the Chain Rule to calculate the partial derivative. (Use…

A:

Q: Use the Chain Rule to find the indicated partial derivatives. P = √u2 + v2 + w², u = xey, v = yex, w…

A: Solution: P=u2+v2+w2   ............(1)Plug the value of u,v & wP =xey2+yex2+exy2

Q: find the partial derivatives. The variablesare restricted to a domain on which the function is…

A: As per our guidelines we have to solve one question

Q: Find the partial derivative of the function with respect to each variable.…

A:

Q: Find the partial derivative. Find f, (4,- 3) when f(x,y)= 5x° - 3xy-y. O A. 9 O B. 249 C. 248 O D. 8

A:

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(2r – s, s - 3r). Use the table of…

A:

Q: Find the indicated partial derivatives. a3w дz удх a3w д×2ду || = W = X у + 3z

A: w=xy+3z

Q: f (x, y) 3 6х + 3у — 7; Dif (x,y) a2f f(x,y) = 4x² – 3xy; %3D - дхду

A: We have to find the indicated partial derivative of this given functions .

Q: Explain how a directional derivative is formed from the two partial derivatives f, and f,. Choose…

A:

Q: The gradient of the lcalar function f= x²+y2+z²is. fa) xityj+zk tyjt +龙ん

A: Gradient of a function fx, y, z is given by  gradf=∂f∂xi+∂f∂yj+∂f∂zk

Q: 2. Determine the equation of the line tangent to the graph of y = x + 2x at the point (1,3). 2.x + 1…

A: Since you have asked multiple questions, we are answering the first question for you as of now. If…

Q: Find the partial derivatives of the function with respect to each variable.

A:

Q: Find the partial derivative. 3 f(x.y)=x° + 3x y+ 5xy°. Find f, (x,y). O A. 3x + 5xy 2 O B. О В.…

A:

Q: Let 5xyz = e². дz Use partial derivatives to calculate - and ?х дz ду and enter your answers as…

A:

Q: Please solve

A: