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

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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

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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

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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…

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

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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