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

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: Use the Chain Rule to find dz/ds and dz/ot In(3r + 2y), a = s sin t, y = t cos s.

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

A: Given: y=7x-1 We know that ddxxn=nxn-1                                                       ..1

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: 4. Use the chain rule to find out the total derivative dv/dt, when v = xe/z, where r = t²,y = cos t,…

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Q: Use the Chain Rule to find dz/dt if z= (x+y)e^x, x= 2− t^2, and y=t

A: Given that: z=(x+y)ex,      x=2-t2 and y=t

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: 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: 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…

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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 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 3 Use the Chain Rule to find where z= 2x sin y, x=t°, and y = 3t°. dt '

A: Given,           z=2xsiny , x=t5 and y=3t3.

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 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, where z=x sin y, x=t^5, and y=5t^2 please show steps

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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: dz Use an appropriate form of the chain rule to find dt z = 7 cos x – sin xy; x = ;, 1 y = 9t Enter…

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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: Use the Chain Rule to find dz/dt or dw/dt. z=sin x cos y, x= √t, y=1/t

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

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 dw/dt. w = In Vx2 + y2 + z2 x = 2 sin(t), y = 5 cos(t), z = 4 tan(t) dw…

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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: 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: 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: 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: Find the differential of the function. Z = e cos(2nt) dz = dx + dt

A: Given,

Q: dz Use the Chain Rule to find dt for z = x? + y? + xy, x = sin t, y = et.

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Q: Use the Chain Rule to find dz/dt. z = tan−1(y/x),    x = et,    y = 5 − e−t

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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: dw Find using the appropriate Chain Rule for w = cos(4x−4y), where x = tº and y = 3. dt

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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 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: 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: 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: dz Use an appropriate form of the chain rule to find dt 1 z = 5 cos x – sin xy; y = 4t t' X = Enter…

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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 dz/dt, for z= xy by using the Chain Rule.

A: Given function is  z=xy Let f(x,y)=xy Then z=f(x,y) Differentiate f partially with respect to x and…

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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