Let z = f(x, y) and suppose x = 2u – 3v and y = 5u + 6v. Use the chain rule to express dz in terms of ди dz dz and dy dz Answer:

Q: Let z = x3 y2 ,x=t3, y=t+3 Use the chain rule to find dz at t=3 dt

A: By chain rule of partial derivatives,     dzdt=∂z∂xdxdt+∂z∂ydydt Here we have,       z=x3y2,   x=t3…

Q: use the chain rule to find dz/dt or dw/dt w=xey/z, x=t2, y=1-t, z=1+2t

A: Given

Q: Use an appropriate form of the chain rule to find dz/de 1. z = 3x?y; a =t and y = t? 2. z = 3 cos a…

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Q: Use the Chain Rule to find Əz/əs and əz/ət. z = x°y', x= s cos(t), y = s sin(t) az as %3D az %3D at

A: Total derivative

Q: Əw at = xysin(z2), x= s-t, y=s2, z t². Use the Chain Rule to find .

A: We know that derivatives of d(xn)/dx = nxn-1. And d(sinx)/dx = cosx  Here i attached the solution of…

Q: dw dw and du For the functions w =xy + yz + xz, x=u + v, y =u - v, and z= uv, express using the…

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Q: dw Use an appropriate form of the chain rule to find dt w = In(10x² – 4y + 5z³); c = t', y = tỉ, z =…

A: From the given function: w=ln10x2-4y+5z3 ; x=t12 ; y=t23 ; z=t-2 As we know that: The Power law:…

Q: Use the Chain Rule to find az/as and az/at. z = e" cos(0), r = st, 0 = V s8 + t8 az as az at

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Q: Use the chain rule to compute dz dz and for ds' Ət dsdt 2 = x²y?, x = st, y = t2 – s2.

A: Given: z=x2y2x=sty=t2-s2 Concept used: ∂xn∂x=nxn-1

Q: dw Use an appropriate form of the chain rule to find dt w = In(162? – 4y + 3z³); 1 = ti, y = tỉ,…

A: Topic- differentiation

Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 1 − t,    z = 3 + 7t

A: To find out dw/dt.

Q: tu+v dt In(t) f(u, v) = u-1 fy Find using the chain rule u = x +y³, v= 3y- 3xs

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Q: Use the Chain Rule to find dw/dt. x = t°, y = 8 – t, z = 7 + 4t dw 5t E+ 4xy - dt

A: We are given w=xeyz,x=t5.y=8-t,z=7+4t We have to find dwdt using chain rule. dxdt=5t4 dydt=-1 and…

Q: Use the Chain Rule to find ôz/ðs and ôz/ôt. z = tan(u/v), u = 9s + 8t, v = 8s – 9t as az at

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Q: Use the Chain Rule to find dz where z = 2x cos y, x=t, and y = 5t. dt dz dt (Type an expression…

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Q: Let u = cos(r + y), x = 2st +t and y = t – 2s. Use the chain rule theorem to compute du for du and…

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Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 3 − t,    z = 1 + 2t

A: Please find the detailed solution in below image

Q: Find and ди ди using the chain rule. w(x, y) = 14x²y², x = e" cos v, (u, υ) ди (u, υ)

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Q: Use the Chain Rule to find əz/əs and əz/ət. z = (x - y)5, x = s?t, y = st2 az as az at

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Q: Use chain rule to find dz/dt z=cos(x+2y), x=6t^3, y=7/t

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Q: Let f(x, y) xy, x = 1- Vt, and y = 1+ Vt. Find df using the chain rule. dt

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Q: Use the chain rule to find if y = 2wz + z², w = e*, z = cos x

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Q: Use the Chain Rule to find dz/ðs and əz/ət. z = tan(u/v), u = 5s + 8t, v = 8s – 5t %3D az %3D as az…

A: We have to use chain rule to find the partial derivatives of z.

Q: dw Use an appropriate form of the chain rule to find dt In(14.x² – 4y + 523); x = ti, y= tổ, z = t-2…

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Q: Find dw/dt using the appropriate Chain Rule. Function Value w = x2 + y2 X = 4t, y = 3t t = 2 %3D dw…

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Q: Find dw/dt using the appropriate Chain Rule. w = x? + y? x = 3t, y = 10t dw dt

A: We have to solve

Q: dz dz and ds' dt C) Use the chain rule to compute for dsðt

A: z=x2y , x=sin(st) , y=t2+s2We have to use chain rule to compute ∂z∂s,∂z∂tand…

Q: Əw ər Let w = xy + yz + zx, x = r cos(0), y = r sin(0), z = re. Use the Chain Rule to find when r=3…

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Q: | Let u = x*y + y°23 where x = rse', y = rs²e=t, = 2, 8 = 1 and t = 0, by using Chain Rule. p2 Sint.…

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Q: Use the chain rule. If W=u^3 and U=t-1/t+1, find dw/dt when t=1

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Q: Use an appropriate form of the chain rule to find dz/dt 1. 2 3xy; a r-t' and y

A: use partial derivative for finding drivative.

Q: se the chain rule to compute and at (u, v) = (1, I) where f(x, y, z) = x²y + y²z + z²x and r(u, v) =…

A: Given: fx,y,z=x2y+y2z+z2xr→u,v=eucosv,eusinv,u2u,v=1,π4 To find: ∂f∘r→∂u=?∂f∘r→∂v=? Concept used:…

Q: Use the Chain Rule to find dw/dt. w = xellz, x = t³, y= 2 – t, z = 7 + 4t dw dt

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Q: If = Z sin x = 2t, y = 2 – t2, find dz/dt using the chain rule. Assume the variables are restricted…

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Q: Suppose z = x´ sin y, x = 2s2 + 3t2, y = 6st. A. Use the chain rule to find z and as functions of x,…

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Q: dz a²z and 1 a) Find- Usin chain rule. If z = e*y – Sin xy, x=-, y=t? дх ду dt

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Q: Use the chain rule to find where dt z = x*y+ xy°, x = -2 + t", y = -2 – t? First the pieces: dz dz…

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Q: use an appropriate form of the chain rule to find dw/dt. w=6cosxy-sinxz; x=1/t, y=t, z=t^8. enter…

A: Given: w=6cosxy-sinxz x=1t, y=t, z=t8

Q: Consider the following. w - xy + xz + yz?, x= t, y- 7t, z-7 (a) Find dw/dt using the appropriate…

A: We have to use chain rule to solve the question.

Q: dz Use the Chain Rule to find : z = = cos(x + 4y),x = 5t*, y = - %3D dt

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Q: Use the Chain Rule to find dz/dt. z = cos(x + 7y), x = 45, y = 9/t

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Q: dz Use chain rule to find at (s, t) = (0, 1) if ds z = 6x + y² tan e – st, y = s² – ť. x = ebs

A: Consider a function of multivariable where and . Then according to the chain rule for…

Q: Use the Chain Rule to find az/ds and az/ôt. z = tan(u/v), u = 3s + 6t, v = 6s - 3t az as az at II

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Q: dz dz and ds' at C) Use the chain rule to compute for dsðt z = x²y, x = sin(st), y = t2 + s². dw dw…

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Q: dz dz and dv Use an appropriate form of the chain rule to find du 1 = Z = e&z*y; x = vuv, Y =-

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Q: 2 Let z=x ·sin(y) 2 X=S •t y= st. dz Compute & in two ways: (i) Using the chain rule and S ô t (ii)…

A: Given that , z=x2siny where x=s2t , y=st find ∂z∂s , ∂z∂t

Q: dw for w = dt xez,x = t2,y = 1– t,z = 1+ 2t. e the Chain Rule to find

A: Given query is to find the derivative using chain rule.

Q: Express dw/dr and dw/as as functions of r and s using chain rule w = In(x + y + z*), x = re sin r, y…

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Q: dw Use chain rule to find dt if w = xez, x = t², y = 1- t, z = 1+ 2t.

A: Given w=xeyz, x=t2, y=1−t and z=1+2t We have to find dwdt by using chain rule. Hence, by chain rule…

Q: (a) Let F z sin y, where r(s,t) = st and y(s, t) = st. Use the chain rule to find %3D %3! OF

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