Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y? + z²; x = p sin $ cos 0, y = psin ø sin 0, z = pcos o Enter your answers in terms of p, ø, and 0. др Activ. || || ||

Q: Use the Chain Rule to find the indicated partial derivative r= y +x cos(t), S = x+y : du du au when…

A: Here we have to find ∂u∂x, ∂u∂y, ∂u∂t. We have, u=r2+s2 .................................... (1)…

Q: dw y of w=- dt H.W: Use the chain rule to find the derivative 1 with x= cos t, y= sin² t, z =- dw…

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Q: Find both first partial derivatives. z = ey sin 8xy

A: Differentiating with respect to x, keeping y as constant, we get

Q: al derivatives of t 'sin(z+y)

A: According to our terms and condition i have solved first question for next question repost

Q: find dw/os and ow/ot using the appropriate Chain Rule. Evaluate each partial derivative at the given…

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Q: Use the Chain Rule to find the derivative of w = xy with respect to t along the path x = cos t, y =…

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Q: Let y = 5a. Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4 and…

A: According to question given y=5x2x=4 and ∆x=0.4We have to calculate the change in y, ∆y

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: Q1-Use the chain rule to express dy / dx in terms of xand y: 1-1 a) y = аnd x = at 1= 2 1+1 b) y=1-…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: Let y = 5x². Find the change in y, Ay when x = 3 and Ax 0.4 Find the differential dy when x = 3 and…

A: x = 3  f(x)=f3=5·32=45 f(x+△x)=f3+0.4=f3.4=5·3.42=57.8 △y=f(x+△x)-f(x)=57.8-45=12.8

Q: Let y = 2/x. Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3…

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Q: Consider the functions z= - ex In y, x = In (u cos v), and y = u sin v. dz əz (a) Express and as…

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Q: Find all the second order partial derivatives of the function : f(x, y) = ln 2xy + sin 4xy + e2–4y…

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Q: Q1J Use the Chain rule to find the derivative of w=xy + In z with re spect to v if x v/u, y u+v, z…

A: The chain rule is used to calculate the derivatives of the function. The chain rule for a function…

Q: Use the appropriate form of the chain rule to find the derivatives. 7x2 + 7y? + z²; x = psin ø cos…

A: This question is based on Partial derivatives.

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

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Q: Use the Chain Rule to find the indicated partial derivatives. u = 2 + s?, r= y + x cos(t), s = x + y…

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Q: dw H.W: Use the chain rule to find the derivative dt with x = cos x = cos² t, y = sin² == and…

A: Given :w=xz+yzx=cos2t    and y=sin2t   z=1t

Q: Find all the second order partial derivatives of the function : f(x, y) = ln 4xy + sin 3xy + e%x-3y…

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Q: Let y = 5 x. %3D Find the change in y, Ay when a = 5 and Ax = 0.3 %3D Find the differential dy when…

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Q: dw of w -+ dt X y H.W: Use the chain rule to find the derivative dw with x= cos 1, y = sin? t, z =-…

A: We differentiate the function with respect to t.

Q: b) Obtain all the first and second order partial derivatives of f(x,y, z) = e* sin In yz + e sin In…

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Q: Find all second order partial derivatives for the following functions: a) z = xe-2y +x In(y) + y…

A: Question - 9(a) Given, z=xe-2y+xlny+ylnx Formulas used:…

Q: If z = (x + y)e and x = u? + v? and y = u? – v2, find the following partial derivatives using the…

A: Given

Q: Let y = f(x), where f(x) = 3x+6/x+6 Find the differential of the function. dy =?

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Q: Use the appropriate form of the chain rule to find the derivatives. w = 7x2 +7y²+ z2; x = p sin o…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = x/7- x² = Ap %3D

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Q: H.W: Use the chain rule to find the derivative === with x = cos² t, y = sin² t, z = - at t = 3 dw xy…

A: Solution :

Q: Find aw/ds and aw/at using the appropriate Chain Rule. Function Values y - 8xy x = e°, y = e W%3= s…

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Q: Find əw/as and aw/at using the appropriate Chain Rule. Function Values w = y3 - 10x?y x = e, y = et…

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Q: Let y = 4/r. Find the change in y, Ay when x = 3 and Ax 0.2 Find the differential dy when x= 3 and…

A: We know that, Δy= y(x+Δx)-y(x) Given, y= 4√x --------equation 1 x=3 Δx= 0.2 Therefore, Δy=…

Q: Find all the second order partial derivatives of the function : f(x, y) = = In 3xy + sin 2xy +…

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Q: Find the partial derivatives of the following when z = 0 and y = 1: (sin(5r²y+ 2xy)). (sin(5a'y +…

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Q: Use the Chain Rule to find the derivatives or partial derivatives. (a) w = ln(x^2 + y^2 + z^2) , x =…

A: to find the derivatives or partiald erivatives. (a) w = ln(x^2 + y^2 + z^2) , x = cos t, y = sin t,…

Q: Let y 3T. Find the change in y, Ay when x 2 and Ax 0.3 Find the differential dy when a 2 and da 0.3

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Q: Find the derivative, dy/dx of the following using the chain rule: a) y = 3. 'x+1 b) y = ()³ 5x+1 %3D…

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: Use the Chain Rule to evaluate the partial derivative g at the point (r, 0) = (2/2, 7) where g(x, y)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the first partial derivatives of the following function. y sin r f(r, y) I cos y

A: The given function is,                        fx,y=ysinxxcosy We need to find first partial…

Q: Consider the functions z=2e* In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and du as…

A: Given: The functions, z=2exlny, x=lnu cos v, and y=u sin v.

Q: Find the value of dz and 8z/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Given  data  xey+2z-cos(xy)+ey-ln2=4  ,  A(ln2,0) Also given  when x changes by (dx=0.01) and y…

Q: dw of w: dt x y Use the chain rule to find the derivative 1 with x cos t, y = sin t, z =- dw and…

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Q: Consider the functions z = 2 e In y, x = In (u cos v), and y = u sin v. dz ze as functions of u and…

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Q: Consider the functions z= - ex In y, x= In (u cos v), and y = u sin v. dz dz # (a) Express and as…

A: To evaluate the given partial derivatives.

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: 3. Find dy, where; (x+y) = 2 a) cos (xy)- + e b) e+ iPtany=1 , u= xlax (use chain rule)

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Q: Find both first partial derivatives z = cos(10xy) dz %3D dx az ду %3D

A: We can find the partial derivatives as below

Q: 1. if z = a² sin[e!n 2y] + 3xy cos[e!n2x] – 4a?y², find the partial derivative of z with respect to…

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Q: Determine the first order partial derivative of the following: 1. F(x, y) = cos(e^t) dt

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Q: Use the Chain Rule to find the indicated partial derivatives. r yx cos(t) s x y sin(t) ди au au when…

A: Given that