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

Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y? + z²; x = p sin $…

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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. Function w = x sin y x = e", y = 1 - t Value t = 0 X =…

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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: 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 922 – 4y², x = 2 sec t, y = 3 tan t. Using the chain rule, find dt Given z =

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Q: Use the appropriate form of the chain rule to find the derivatives. 12x2 + 12y? + z²; x = psin o cos…

A: We have to find derivative of given function by using chain rule.

Q: Use the Chain Rule to find dw/dt. + y2 + z2 x = 5 sin(t), y = 7 cos(t), z = 6 tan(t) W = In

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

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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: Use Version 1 of the Chain Rule to Calculate dy/dx

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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: use an appropriate form of the chain rule to find dz/dt. z= 8cosx-sinxy; x=1/t, y=3t

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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 Version 1 of the Chain Rule to Calculate dy/dx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: dw Use the Chain Rule to find dt w = x²e²y cos(32), x = cos t, y = In (t + 2), z = t

A: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x).

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

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

A: 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: 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: dz Use an appropriate form of the chain rule to find dt z = 4x°y³; x = tº, y = t" Enter the answer…

A: From the given problem: z=4x6y3 ; x=t8 , y=t7 Now apply the chain rule.…

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

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Q: dv dv 5. Use the Chain Rule to find and ds v = ln (2.x + 3y), where x = s sin t, y =t cos s %3D

A: Here, Givenv=ln(2x+3y)∂v∂x=22x+3y∂v∂y=32x+3yAlso, x=s sin(t)∂x∂s=sin(t)∂x∂t=s cos(t)y=t…

Q: dx Use the chain rule to find () in terms of x and y dy 2 y = ( and X = t2 at t= 2

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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: 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/t. z = x² + y² + xy, x = sint, y = et

A: Here we will find dz/dt,

Q: dy If y = tan t , x = tan? t ,Find by using Chain Rule dx at t =

A: Let the two functions are xt and yt. The chain rule to find dydx is given by the following formula.…

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

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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: 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: 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: Use the appropriate form of the chain rule to find the derivatives. W = 5x2 + 5y? + z²; x = p sin o…

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Q: Use the Chain Rule to find dw/dt. w = In V x2 + y2 + z2 x = 9 sin(t), y = 3 cos(t), z = 5 tan(t) dw…

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Q: Use the Chain Rule to find dz/dt. z = sin(x) cos(y),    x = The Square Root of t,    y = 8/t

A: Given: z = sin(x) cos(y),    x = √t,    y = 8/t By Chain Rule,

Q: Find dy/dx if y = x by using the Chain Rule with y as a compositionof y = 1 + (1/u) and u = 1/(x -…

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Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = (2 x3 − x2…

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