Use the chain rule to find , where w = x*y* + y? z³, æ = e*, y = e* sin t, z = e' cos t First the pieces: dr dt dy Now all together: dw dy dy dt dw dt Ou dz is too horrible to write down (correctly). dz dt Or dt I| ||||

Q: Use an appropriate form of the chain rule to find dz/dt 1. z = 3x?y; x = t and y = t2 2. z = 3 cos x…

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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: 4. z = tan-'(y/x), x = e', y = 1 - et

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Q: dz Use an appropriate form of the chain rule to find dt z = 5x*y; x = tl0, y = t7 Enter the answer…

A: From the given problem: z=5x4y5 ; x=t10 ; y=t7 As we know that: The Power rule: ddxxn=nxn-1

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: Use the Chain Rule to find dz/dt. z = tan-1(y/x), x= et, y = 9 – e-t dz dt

A: Given query is to find the derivative of the expression.

Q: Find dw/dt using the appropriate Chain Rule. Evaluate dw/dt at the given value of t.

A: The given equation is . Also .

Q: the functions z= 8 e* Iny, x= In (u cos v), dz dz SS and- du as functions of u and v both by using…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Let w(x, y, 2) = a? + y? + 2? where a = sin( – 9t), y = cos(- 6t), z = e". dw dæ dy dz by first…

A: We have  W= x2+y2+z2  Where , x= sin(-9t) , y= cos(-6t), z= e3t  Find dx/dt, dy/dt, dz/dt and dw/dt

Q: Use the Chain Rule to find dz/ds and dz/dt. z = x°y°, x = s cos(t), y = s sin(t) dz as az at %3D

A: Given:-z=x5y9x=scos⁡t,y=ssin⁡tTo find∂z∂s&∂z∂tBy chain rule∂z∂S=∂z∂x∂x∂s+∂z∂y∂y∂Swe…

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: 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: dz Use the Chain Rule to find where z =x cos y, x =t°, and y = dt dz dt

A: We have to find the derivative using chain rule, so,

Q: Let z(x, y) = x°y where a = t & y = tª. dz Calculate dt chain rule. dx by first finding dt dy and…

A: Given below the detailed solution using chain rule.

Q: dw Use an appropriate form of the chain rule to find dt 1 w = 4 cos ry – sin cz; x=÷, y = t, z= t8…

A: Given,           w = 4 cos zy - sinxz;            x = 1/t ,      y=t,        z= t⁸

Q: et w(x, y, 2) = x² + y² + 2² where z = sin(7t) , y = cos(6t), z = e". %3D dw dr dy dz by first…

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Q: Use the Chain Rule to find dz/dt. z = cos(x + 7y), x = 5t5, y = 3/t dz dt II

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2s – 5t & y = 6s – 8t. %3D Let z(x, y) = x + 9y? where x = az дх ду да dy dz Calculate ds & and…

A: We use the chain rule

Q: Use the Chain Rule to find dz/ds and dz/dt. z = ex + 7y, x = s/t, y = t/s dz %3D ds az at %3D

A: given z=ex+7yx=sty=ts

Q: Let 2(r, y) = 3e" sin(y) where a = t° & y = 3nt. %3D %3D dz by first finding dt dy and using the…

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Q: Use the Chain Rule to find dz/dt. z= x? + y2 + xy, x = sin(t), y = 4e

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Q: Find aw/at using the appropriate Chain Rule. w = x sin y x = e', y = - t dw dt

A: Derivative

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

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Q: Use the chain rule to find dw/dt, where w=x^5y^4+y^3z^2, x=e^t y=e^tsint, z=e^tcost First the…

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Q: Use the Chain Rule to find dz/ds and dz/dt. Z = tan(u/v), u = 3s + 6t, v = 6s - 3t dz ds dz at Need…

A: Given z=tanuv , u=3s+6t , v=6s-3t

Q: Use the Chain Rule to find dz/əs and dz/at. z = tan(u/v), u = 8s + 3t, V = 3s 8t az as az Ət II

A: Given data: *z=tan(uv) *u=8s+3t and v=3s-8t The partial derivative of z with respect to s is given…

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: Let w(x, y, z) = x² + y? + z? where x = sin( – 7t) , y = cos( – 8t) , z : dw by first finding dt dx…

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Q: Find ow/@s and ôw/at using the appropriate Chain Rule. Function Values w = sin(2x + 3y) x S+ t, y =…

A: Given that function w=sin2x+3yx=s+t , y=s-tvalue s=0 ,t=π2To find :∂w∂s,∂w∂tSolution…

Q: Use the Chain Rule to find dz/dt. z = xy5 - x?y, x = t? + 1, y = t? - 1 dz dt ||

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Q: Use the Chain Rule to find dw/dt. w = In(V? + ° + z2 x = 3 sin(t), y = 2 cos(t), z = 5 tan(t) dw dt

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Q: Use the Chain Rule to find ôz/as and az/ðt. z = x°y5, x = s cos t, y = s sin t az as az at

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Q: Use the Chain Rule to find dw/dt. x = 6 sin(t), y = 2 cos(t), z = 9 tan(t)

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Q: Use Chain Rule to find ds given w = Vr² – 2y + z² and r = cos (st), y = -2s Int and z = s –

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Q: Express dw/ðu and əw/dv as functions of u and v both by using the Chain Rule and expressing w…

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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 the Chain Rule to find dz/dt. z = x2 + y2 + xy,    x = sin(t),    y = 3et

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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: Using the Chain Rule, find dz/dt for z In(x? + y²) and x = t, y = t²

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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: Use the Chain Rule to find dw/dt. w = In V x + y + z2 ), x = 2 sin(t), y = 4 cos(t), z = 3 tan(t) dw

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Q: Let w(x, y, z) = x + y+ z where x = sin( 9t) , y = cos( dw dæ dy by first finding dt dz and using…

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Q: Let w(x, y, z) = x2 + y? + z2 where x = sin( – 2t) , y = cos( – 8t), z = e". 9t dw dx dy dz…

A: To find the derivative using chain rule

Q: Use the Chain Rule to find dz/as and əz/dt. e cos(0), r = st, 0 = V 56 + t6 || dz as az

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Q: Use the Chain Rule to find ôz/ds and ôz/ðt. z = tan(u/v), u = 5s + 9t, V = 9s – 5t az as az at

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Q: Use the Chain Rule to find ôz/ðs and dz/dt. z = tan(u/v), u = 3s + 6t, v = 6s – 3t dz %3D as Ot

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Q: dz dt || z = cos(x + 3y), x = 8t³, y = 9/t

A: By the use of chain rule we need to find the required derivative.