Use this result and the chain rule to find (Isinx|) pr all x € (-T, T),x + 0. dx

Q: dz Use an appropriate form of the chain rule to find dt z = 9x10y%; x = t10, y = t6 Enter the answer…

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Q: dz Q\ let z = 8x'y-2x +3y, x = uv, y = u + v use the chain rule to find du

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Q: For f(x) = e+cos(x), calculate f (0) by using the chain rule!

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Q: dz Use an appropriate form of the chain rule to find dt - = 2a°y°; x = t°, y = t5 Enter the answer…

A: Topic = Derivative

Q: Find without using the Chain Rule and the ProductRule

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

Q: A) Use the chain rule to find where w'sy',x= sint + cost y = cost - sint. B) If f(x. y) - xy?+ x'y ,…

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Q: Use data linearization to find the value of the function when x = 3 using the exponential fit of y=…

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Q: 3. Given w = x² + y² + z²; z = te"+s, use the CHAIN RULE to find x = ret+s; y = se**; and aw а. ar…

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Q: 0 Use an appropriate form of the chain rule to find dw/dt w = 5x²y°z*; x =², y = t², z = t°

A: As per our guidelines, we only solve one question.

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: dx Q2 / Use the chain rule to find ( ) in terms of x and y dy y = ( 2 1 1, at t2 t = 2 and X t + 1.

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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: dz appropriate form of the chain rule to find dt Use an = 6x³y³; x = t", y = t10

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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: Find the linearization of f(x, y) = V1+x - y? at (4, 1), and then use it o approximate f(3.96,…

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Q: Əz Q3.If Z= f(x,y) = 4 e In(y), and x = ln (u cosv), y = u sinv, use chain rule to find : E * ди Q4.…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: az az and at as Use the chain rule to find z = tan-(x + y°), x = s In(t), y = tes az as az at

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Q: dy a- Use Chain Rule to find of the function below: dx y = u³, u = x? – 1 - у 3 cot u, и 3D п —-

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Use chain rule to find express answer in terms of x only. dx y = Vu² – 1 u = 4Vx

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Q: Find dwdt using the appropriate Chain Rule. Evaluate dwdt at the given value of t.

A: w=xsiny,x=et, y=π-t We need to calculate, dwdt at t=0

Q: Suppose z = x2 sin y, x = 2s? + 3t2, y = 6st. A. Use the chain rule to find and as functions of x,…

A: (A) ∂z∂s=∂z∂x.∂x∂s. Take derivative of z=x2siny w.r.t x : ∂z∂x=2xsiny=4s2+6t2sin6st. And, ∂x∂s=4s.…

Q: Use the fundamental theorem of calculus and the chain rule to find (A(x)) where dx e2x A(x) = In(t?)…

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Q: Using the chain rule, find df/dt in terms of t if, f(x,y)=xsin(y) and x = 5*t,  y = t^2

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Q: dy I By writing u y", and using the chain rule, show that ) = ny- dx dx dy 2 Use the product rule to…

A: We have to find the derivative

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: Find f(t). s(s + 1).

A: L-1[F(s−a)]=eatf(t) From first shifting property, L{e^(at)*F(t)} = f(s-a)…

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: Use the Chain Rule to find- af when r = 2, t =-1 of the function ar f(x, y, z) = e3xyz cos 2xyz ; x…

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Q: (a) The function z depends on u and v so that z = (2u – 1)(1 –v)? , u = x + 2y and v = x – 2y az…

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Q: Hw z] Find Sxsin(x)dx using this rule.

A: Given that, Using the chain rule, The integral becomes,

Q: Əw ər Let w = xy + yz + zx, x = r cos(0), y = r sin(0), z = re. Use the Chain Rule to find when r=3…

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Q: dy Compute using the chain rule. State your answer in terms of x only. dx 6. u =x-x* u y = 6 4 u=X-X…

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Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y² + z²; x = p sin ø…

A: Given:   w = 3x2 + 3y2 +z2  x and y and z values is given

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: 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: Find fy given f (x, y) = dt (Hint: use the chain rule)

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Q: Q2-By using Chain Rule, find au/ax, du/dy, du/dz at (x, y, z) = (√√3,2,1) U= p-q q-r p=x+y+z…

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Q: df Find dx by using chain rule if f = u =-1 , x=-1 u+1

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Q: dz where z=x sin y, x=t°, and .3 se the Chain Rule to find dt ype an expression using t as the…

A: Solution of the problem as follows

Q: Əw/əs and əw/ət by using the appropriate Chain Rule. w = x cos yz, x = s², y = t², z = s - 5t

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Q: Find z'(t), where z = In (x + y), x = 2t e', and y = 5e', in the following ways. a. Replace x and y…

A: follow next step

Q: dz dz and dv Use an appropriate form of the chain rule to find du 1 = Z = e&z*y; x = vuv, Y =-

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Q: dw for w = dt xez,x = t2,y = 1– t,z = 1+ 2t. e the Chain Rule to find

A: Given query is to find the derivative using chain rule.

Q: d(f o r) Use the chain rule to compute where f(x, y) = x² + y² and ř(t) = (t2, t) dt d(f or) dt

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Q: d²z d12 given that z = In a) Use chain rule to find dt2 x = est and y = t².

A: Derivative of the function

Q: Use the chain rule to find dy/dx for th following : y= (ax+b)^5

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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 dwdt using the appropriate Chain Rule. Evaluate dwdt at the given value of t.

A: to find dwdt