Use an appropriate form of the chain rule to find dz dz and du dv 1 z = e"u; x = Vuv, Enter your answers in terms of u and v. dz ди dz dv ||

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: Differentiating both sides writ dy dao dx Applying chain rule, doc %3D du 13 doc .7(52²+ 8x +9…

A: Consider the provided question, According to you rewrite the answer by using the keyboard or app.…

Q: Find without using the Chain Rule and the ProductRule

A: We simplify the inner function using the properties of log.

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: 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: If x = f(u) and v= g(x), what is du dr dx du ○ f'(u)g'(x) ○ f'(u) + g(x) O dv dx + dx du dv du by…

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Q: use the chain rule to find dy/dx y=(u+1)2;u=1-x

A: Given:The chain rule of differentiation states that:Applying the derivative with respect to x and…

Q: Use the chain rule to compute dz dz and for ds' Ət dsdt 2 = x²y?, x = st, y = t2 – s2.

A: Given: z=x2y2x=sty=t2-s2 Concept used: ∂xn∂x=nxn-1

Q: az and dz Use the chain rule to find as at sin(0) r = st, 0 = s9 + t° %3D as az at

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Q: Use the Chain Rule to find dz/as and dz/at. 2 tan(u/v), u = 5s + 2t, v = 25 - St

A: Proceed as shown

Q: suppose that w = x² + y2 + z2 x = cos) y = sin) z = tanOUse the chain rule to find dw V dA ! dw dy ,…

A: topic - derivatives

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: When choosing u and dv, we want a u that will become simpler (or at least no more complicated) when…

A: The statement is regarding the formula for integration by parts.

Q: Use the Chain Rule to find ôz/ðs and ôz/ôt. z = tan(u/v), u = 9s + 8t, v = 8s – 9t as az at

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Q: ex+y ди 21. If u = show that ax ди = u ду - ex+ey'

A: The given function is: u=ex+yex+ey

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

A: Derivative

Q: Compute dy/dx using the chain rule in formula. State your answer in terms of x only.  y = u3>2, u…

A: Given equations - y = u3+2           .....(1)                                                  In…

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

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Q: Use the Chain Rule to find əz/əs and əz/ət. z = (x - y)5, x = s?t, y = st2 az as az at

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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 əz/əs and dz/Ət. (a) z = x?y°, x = s cos t, y = s sin t (b) z = 4e" In y,…

A: (a). In this question given that - Z= x2 y3 ,  x = scos(t) , y = ssin(t) And find derivative of this…

Q: Use the chain rule to find if y = 2wz + z², w = e*, z = cos x

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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: b) Use chain rule 1 - arctan u, where u = e* y =

A: Given y=1u - arctan u, where u=ex apply derivatives on both sides…

Q: Find dy/dx if y = x^3/2 by using the Chain Rule with y as a composition ofa. y = u3 and u =…

A: a) y=u3 and u=x     dydu=3u2anddudx=ddxx       =12x-12 So, dydx=dydu×dudx      =3u2×12x…

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 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 = 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 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 dz Use an appropriate form of the chain rule to find and du dv' = e2x²y; 1 Vuv, y= z x = Enter…

A: Explanation of the answer is as follows

Q: dz at (u, v) = (1,1) if du Use chain rule to find -z + 1);), = x = 3u – v², y = u® z = x sin( (y? |…

A: If the input of the function is more than one, then it is called a multivariable function. In this…

Q: E- Use the chain rule to express dy / dx in terms of x and y: a) y=7+1 and t=2x+1 1 b) y=7+1 and x=…

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

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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: If Z = /xy + y, x= cos 0 , y= sin 0 when 0 = 2 dz By using chain rule find de

A: According to chain rule of differentiation .According to product rule of differentiation . According…

Q: Use the Chain Rule to find dz/dt. z = cos(x + 6y), = 9t5, y = 3/t x dz dt

A: Use the Chain Rule to find dz/dt.   z = cos(x + 6y),   x = 9t^5,   y = 3/t

Q: dz Use the Chain Rule to find : z = = cos(x + 4y),x = 5t*, y = - %3D dt

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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: dz Use chain rule to find at (s, t) = (0, 1) if ds z = 6x + y² tan e – st, y = s² – ť. x = ebs

A: Consider a function of multivariable where and . Then according to the chain rule for…

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: dz dz and du Use an appropriate form of the chain rule to find dv' z = =; x = 14 cos u, y = 5 sin v…

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Q: Use the Chain Rule to find zz and zy given sin(u) tan(v), u = 3x + y, and v = x – y. %3D

A: Given z = sin(u) tan(v)where u = 3x + yv = x - y

Q: when y and u are defined as follows. y = 3u2 + 7   and   u = x2 + 9

A: Here I am attaching image so that you understand each and every step.

Q: If z = e* sin y, where x = s?t2 and y = s²t, by using Chain Rule find ôz/ðs and az/dt.

A: Let's find.

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: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = 6u3,u = 7x…

A: To find dydx bu using Leibniz's notation for the chain rule: dydx=dydududxy=6u3, u=7x-4

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: dy If y = e" In(u) and u = V1-x2, Find dx

A: y = eu ln(u)       and   u = 1-x2 dydx = ?