Use the Chain Rule to find the indicated partial derivatives. z = x2 + xy², x = uv + w, y = u + ve" du dv dw when u = 2, v = 2, w = 0 du

Q: Find both partial derivatives дz ?х дz and for the equation exy + yz² = x³yz ду

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Q: dz öz Find the partial derivatives, and of the following function: ду ax z = In (2x2 + 4y2)

A: Givenz=ln (2x2+4y2)∂z∂y=∂∂y ln(2x2+4y2)Apply chain rule ∂f∂ygy=f'gyg'yie ln fx'=f'xfx

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, y =: =…

A: Given the function z,x and y.

Q: Use the chain rule to find the indicated partial derivatives. x4. x² + x²y₁ x = s + 2t - u, y = stu…

A: To find partial derivatives of z w.r.t. s,t,u   Given z=x4+x2yx=s+2t-u and y=stu2

Q: Find the Partial Derivatives of the functions with respect to each variable 4) f(x,y) x+ y Ans. 5,-…

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Q: 5xy = 4x²z – 3yz²; yx and yz- %3D Z.

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

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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: Use the chain rule to find the indicated partial derivative z = x4 + x²y, x = s + 2t - u, y = stu2…

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Q: 5xy = 4x²z – 3yz²; yx and yz.

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Q: Use the Chain Rule to find the indicated partial derivatives. z = x² + x²y, Əz az az as at au x = s…

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Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, y = stu²…

A: ∂s∂z​=∂t∂z​=∂u∂z​=0,  when s=3,t=1,u=5 Explanation:

Q: Ex: Find and . fie 28. u = rs? In t; r = x², s = 4y + 1, t = xy³ %3D

A: ∂u∂x and ∂u∂y