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

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. 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: dw Use an appropriate form of the chain rule to find dt w = 4 cos xy – sin xz; x y = t, z = t8 t'…

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Q: dz Use an appropriate form of the chain rule to find dt z = 4x°y°; x = t°, y = t8 Enter the answer…

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Q: dw Use an appropriate form of the chain rule to find dt 1 w = 6 cos xy – sin xz; x = t' y = t, z =…

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Q: Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

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Q: dz Use an appropriate form of the chain rule to find dt z = 7 cos x – sin xy; 1 y = 3t t' Enter the…

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Q: dw Use an appropriate form of the chain rule to find dt = In(10x² – 2y + l2³); x = tỉ, y = tỉ, z =t?…

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Q: dw Use the Chain Rule to find where w = cos 8x sin 2y, x = and y = t*. dt 4' dw II

A: w=cos8x sin2y  , x=t4 and y=t4 dxdt=dt4dt=14 dydt=dt4dt=4t3   ∂w∂x=8 cos8x cos2y ∂w∂y=sin8x -2 sin2y…

Q: dw Use an appropriate form of the chain rule to find dt 1 w = 9 cos xy – sin xz; x = y = t, z = t3…

A: We have to find

Q: dz Use the Chain Rule to find where z = 4x sin y, x=t*, and y = 4t°. dt' dz dx II

A: Given z=4xsiny, x=t4 and y=4t5 We have to find that dzdt Chain rule is defined as f⋅g'=f'⋅g+f⋅g'…

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: dw where w = cos 8x sin 3y, x=- dt 5. and y=t". Use the Chain Rule to find 2

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

A: A detailed solution is given below

Q: Let z(x, y) = 7e" sin(y) where x = t° & y = 3nt. dz Calculate dt dy and using the chain rule. dt dx…

A: Using chain rule dz/dt =(dz/dx)×(dx/dt)+(dz/dy)×(dy/dt)

Q: Let w(x, y, z) = x² + y² + z² where x = sin(7t), y = cos(-3t), z = e-4t. dx dy dz dw dt dt' dt dt…

A: Given problem:- wx,y,z=x2+y2+z2,x=sin7t,y=cos-3t,z=e-4t Find dwdt

Q: Find dw/dt using the appropriate Chain Rule. Function Value w = x sin y x = e', y = n - t t = 0 dw…

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Q: Find dw/dt using the appropriate Chain Rule. Function Value w = x sin y x = e', y = n - t t = 0…

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Q: use the Chain Rule to calculate f (r(1)). dt f(x, y) = x² – 3xy, r(t)= (cos 1, sin t), t=0

A: Given: fx,y=x2-3xyrt=cost,sint

Q: Use the chain rule to find dz/dt or dw/dt.  Z=sinxcosy, x=t^(-1/2) y=1/t

A: First of all, put x and y in the form of t and get the value of “z” in the form of “t” only.

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

A: Derivative

Q: z = sin x cos y, = VE, y = 1/t x =

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Q: Use the Chain Rule to find dz/dt. z = sin(x) cos(y), x = /t, y = 5/t dz dt

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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: Use the Chain Rule to find dw/dt. In(Vx² + y² + z² ), x = 3 sin(t), y = 5 cos(t), z = 6 tan(t) W =…

A: We have to find the derivative  using chain rule.

Q: dz Use an appropriate form of the chain rule to find dt z = 3x"y"; x = t, y = t5 Enter the answer in…

A: Given that , z=3x7y7 ;   x=t5 , y=t5 dzdt=?

Q: Use the Chain Rule to find dz/dt. z = xy? - x?y, x = t2 + 1, y = t2 - 1 dz dt

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Q: Q4) Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

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Q: Use appropriate forms of the chain rule to find dz/ðu and dz/dv. Z = cos x sin y; x =u – v, y = u² +…

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Q: Let z = x?y + 3xy+ where x = sin 2t and y dz find = cos t. Use the chain rule to when t = 0. dt

A: See solution below. Using definition of chain rule.

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: Let z(x, y) 2x2 – 3y? where a 2s – 4t & y = 9s + 8t. he at dy dx az Calculate ds dz by first finding…

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Q: dz Use an appropriate form of the chain rule to find dt z = 7 cos x – sin xy; 1 y = 7t Enter the…

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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: dz Use an appropriate form of the chain rule to find dt z = 5x*y°; x = t1º, y = t" Enter the answer…

A: NOTE: Refresh your page if you can't see any equations. . take partial derivative with respect to x

Q: dw where w = cos 8x sin 4y, x = dt and y =t". 4 Use the Chain Rule to find

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Q: Find dw/dt using the appropriate Chain Rule. Function Value t = 0 w = x sin y x = et, y = n - t dw…

A: Given query is to find the indicated derivative.

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

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Q: dw Evaluate at the given value of t, by using the Chain Rule, dt w = 2ye* - Inz, x = ln(t² + 1), y =…

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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 dw/dt. w = In( V x2 + y² + z? ), x = 2 sin(t), y = 7 cos(t), z = 8 tan(t)

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Q: Use the Chain Rule to find dw where w = sin 8x cos 2y, x = , and y = t°. dt 2 dw dt (Type an…

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Q: x²y + 3xy where x = sin 2t and y = cos t. Use the chain rule to dz when t = 0. 3. Let z = find dt

A: According to our guidelines we can answer only first question.

Q: Q2) Use the chain Rule to find dw\dt of y w = =+2,x = cos²(t), y = sin² (t), z =, at t = 3

A: In this question,w is function of x,y,z and x,y,z are the function of t so first we find out…

Q: Use the Chain Rule to find dz / dt or dw/ dt.(odd) z = xy3 - x2y, x = t2 + 1, y = t2 -1

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Q: Find the total differential. w = e7Y cos(4x) + z7 dw

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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.

Q: dw Use an appropriate form of the chain rule to find dt 1 w = 8 cos xy – sin xz; x = , y=t, z= t'

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