To find the partial derivatives wsw_sws​ and wtw_twt​, we need to use the chain rule and compute the derivatives step by step. Given: w=2x−2zy+2zw = \frac{2x - 2z}{y + 2z}w=y+2z2x−2z​ where x=3s+2tx = 3s + 2tx=3s+2t y=3sty = 3sty=3st z=3s−2tz = 3s - 2tz=3s−2t

Q: Find all the second partial derivatives. T = e-2r cos(0) Trr Tre Tør = Tee - =

A: The given function T=e-2rcosθ. We have to find the second-order partial derivatives. Note:  Since…

Q: Find the partial derivatives indicated. Assume the variables are restricted to a domain on which the…

A: solution:

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: Evaluate the indicated partial derivative. Z-9xy-3x-y:. A 18x-15x B B 18ty-15xty 9x2-3x$ D 93y-3ry

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Q: (b) f(x) — хе*-у-z xex-y-z

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Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: Let-3x³ + 4y³ + 4z³ - 2xyz +428 = 0. Əz Əz Use partial derivatives to calculate and at the point…

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Q: Find all the second-order partial derivatives of the function. r(x.y) = In (x + 3y) дудх дхду dy II

A: Given function is rx,y=lnx+3y Differentiate partially rx,y=lnx+3y with respect to x…

Q: Both first partial derivatives of the function f(x.y) are zero at the given points. Use the…

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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: How are second-order partial derivatives used in findingextrema?

A: We have to tell how we can find extrema using second-order partial derivatives   The second…

Q: 6. Use implicit differentiation to find first order partial derivatives: tan-(x²y) = y²z3 +…

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Q: For each part of this problem, state whether or not it is possible for a function f of two variables…

A: Answer

Q: Compute the first-order partial derivatives of the function. w = ln (x³ — y6) (Use symbolic notation…

A: The given function is .We have to find the first-order partial derivatives of the function.

Q: Let - 2x3 - 2y³ - 2z3 + 2xyz - 284 = 0. дz дz Use partial derivatives to calculate and at the point…

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Q: Please help. *Find fzxy; f(x,y,z) = x⁵y⁸z⁴+y⁴z. *The partial derivative of z = sin(7x³y+8xy²) is;

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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: individual's chronological age C and the quotient is multiplied by 100. The result is the…

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Q: y² + y²eG)° + 2x²•G° x': 2xye 6) Zaye*

A: The solution is given as

Q: Use the Chain Rule to find the indicated partial derivatives. = x² + x²y, x = s +2tu, y = stu²; Z =…

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Q: How do you remember the methods for partial derivatives in the chain rule for several variables?

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Q: Use the Chain Rule to find the indicated partial derivatives x = s + 2t - u, y = stu²; when s = 4, t…

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Q: Please solve

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