Let z(x, y) = x°y where a = t & y = tª. dz Calculate dt chain rule. dx by first finding dt dy and using the dt da 8t7 dt dy 4t3 dt Now use the chain rule to calculate the following: dz dt || ||

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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

A: Consider the given function z=xy3-x2y, x=t2+1,   y=t2-1 the chain rule, dzdt=∂z∂xdxdt+∂z∂ydydtwe…

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: 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 = 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: Let w(z, y, 2) = x² + y² + z² where z = sin(7t) , y = cos(7t), z = e'. dz dy dw by first finding dt…

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Q: at (x, y) = (1, 2) and z? = x2 + y² if dt dx = 4 and dt dy = 3. dt dz %3D %3D Find dz dt II

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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: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Given Equation: and given that dx/dt = 3 Find  (a) dy/dt when x = 4,…

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: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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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 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: 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: 2. Assume w=xy* , where x and y are functions of t. dw Find dt dx =2, when x=3, dt dy - 4, and y=1…

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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 z(x, y) = xey where x = t4 & y = 1+ 5t. dz by first finding dt dx, dy -& dt and using the chain…

A: Please see the answer in Step 2

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: Calculate dy/dt using the given information. x^4/3+y^4/3=2; dx/dt=6, x=1, y=1

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Q: Use the Chain Rule to find dz/dt. dz dt || z = √√√ 1 + x² + y², x = 2 In(t), y = cos(t) 1 √1+ (Int)²…

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Q: dz Find given: dt z = zew, z = t°, y = - 5+5t dz Preview dt II

A: This problem can be solved as follows:

Q: Let z(x, y) = x'y where x = t° & y = t°. dz by first finding dt dy and using the chain rule dt dx…

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Q: the = x + y + 3z dt dy a) = 2y + 3z dt dz = 3z %3D dt 1. Write the linear s Find the eige envalı

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Q: Let z(x, y) t° & y = 1+ 6t. = xe9 where x = dy and using the chain rule. dt dx dz by first finding…

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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: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Given : Equation x2 + y2 = 25 and x and y both differentiable functions of t.   To find : (a)…

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: 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: 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: 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: a)Let z = x?y – y² where x = t2 and y = 2t . Find dz/dt at t=1 using chain rule.

A: Given query is to find derivative is nge chain rule.

Q: Use the Chain Rule to find dz/dt. z = xy9 − x2y,    x = t2 + 1,    y = t2 − 1

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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: Find dz/dt dz/dt given:  z=xe2y, x=t6, y= -1+5t

A: Given,         z=xe2y    , x=t6     ,    y= -1+5tWe know that,            ∴dzdt=∂z∂x·dxdt+∂z∂y·dydt

Q: Use the Chain Rule to Find dz/dt, where z=2xsiny, x=t^5, and y=3t^3.

A: Chain rule  dz/dt=(dz/dx)(dx/dt)+(dz/dy)(dy/dt)

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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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: Assume x and y are both differentiable and functions of t. dy when x dt dx = 3? dt If y = x², what…

A: Explanation of the answer is as follows

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: Use the Chain Rule to find dz/dt or dw/dt.  z = xy3 – x2y, x = t2 + 1, y = t2 − 1

A: Given,             z = xy3 – x2y,  x = t2 + 1,  y = t2 − 1

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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