Use the chain rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t-u, y = stu² Əz Əz Əz when s = 3, t = 2, u = 1 as at au Əz || 8「8 ៩៩ at Əz ди

Q: Compute the first-order partial derivatives of the function. 14x Vx² + y2 (Use symbolic notation and…

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Q: əz дz Find and ax if z is defined implicitly as a function of x and y by the equation ay + +z6+…

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Q: Use the Chain Rule to find the indicated partial derivatives. z = x³ + xy², x= µv³ +w²₁ _y= u + velv…

A: According to question,Given function,z = x3 + xy4,x = uv3 + w4,y = u+vew

Q: Get the partial derivatives δω θω дх’ ду δω given that Əz w = Arc sin (x² + y) — tan 2z + 1 and

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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 the partial derivatives 5xex² + y2 2 W = Əw Әх Əw ду = = 5x26 +12 2 е+2 5xye+2+1,2 Əw aw Әх ду…

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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: Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu²…

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Q: Find all the first and second order partial derivatives of f(x, y) = −4 sin(2x + y) + 10 cos(x - y).…

A: Given:- fx,y=-4sin2x+y+10cosx-y

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

A: To express    dz/ds  , dz/dt and dz/du using the chain rule without substituting x and y: Apply the…

Q: Find all second order partial derivatives of the given functions f(x, y) = cos(2xy2 3x?y3)

A: Consider: fx,y=cos2xy2-3x2y3. Calculate: ∂2f∂x2. Apply chain rule: ∂u∂x=∂u∂v∂v∂x Let u=cos2xy2-3x2y3…

Q: Let 5xyz = e².

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Q: Use partial derivatives to find the coordinates which give the shortest distance from the point…

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Q: Let -2r+5y - z + 3xyz + 163 = 0. Use partial derivatives to calculate and at the point (1, - 3, 2).…

A: For find ∂z∂x, differentiate partially the given function with respect to 'x' taking y as constant…

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: 11. Find the volume of the solid generated by revolving the plane region bounded by y = 4x2 and y =…

A: We have, y=4x2y=10x-x2   It is known that volume of the solid is generated by revolving the bounded…

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: Use the chain rule to find the indicated partial derivatives. u = xety, x = a²B, y = B²y, t = Y²a ди…

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Q: 5. a) Find the first order derivative of the following function. y x° In x

A: Note: According to bartleby we have to answer only first question please upload the question…