Use the chain rule to determine the indicated partial derivative.  z = xy2 + 3x2y2, x = uv2, y = u + ev, where u = 6, and v = 5 find the value o

Q: Let z = f ( x , y ) = 15x2 - 25xy + 9y2 . Find the following using the formal definition of the…

A: Given function - z = 15x2-25xy+9y2While differentiating partially with respect to x, rest of the…

Q: Use the Chain Rule to find the indicated partial derivatives. z = x2 + xy², x = uv + w, y = u + ve"…

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Q: Find the partial derivatives of the function w = V 4r2 + 1s2 + 2t2 dr ds dw at %3D శ్రీని శ్రీి

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Q: Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y,    x = s + 2t − u,    y…

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Q: Take a left-hand estimate and a right-hand estimate in each case and give the average of the two as…

A: a) ∂r∂v Taking left hand =  limv→∞r(v=90, θ=40)-r(v=85, θ=40)90-85 = 249 - 2225  =  5.4Taking right…

Q: Find both first partial derivatives. h(x, y) = e-(x° + y9) h,(x, y) = %3D h,(x, y) = %D

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Q: Use the Chain Rule to find the indicated partial derivatives. u =    r2 + s2,    r = y + x cos(t),…

A: Given that, u=r2+s2 r=y+xcost, s=x+ysint. The objective is to find ∂u∂x, ∂u∂y, ∂u∂twhen x = 3,  y =…

Q: Find the partial derivatives of f(x, y) = 5x*y². %3D

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Q: Find dw/ds and ôw/ôt using the appropriate Chain Rule. Function Values w = y3 - 10x3y s = -4, t = 8…

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Q: Find the first partial derivatives of the function. f(x, y) = X y fx(x, y) = fy(x, y) =

A: Here given function as  Now

Q: Find the first partial (a) derivatives of the function f(x, y) = x²y√√√y + 4y². (b) fxyx of the…

A: A two variables function f(x,y) is provided. We have to find the first partial derivatives and…

Q: Find both first partial derivatives. h(x, y) = e-(x9 + y9) h,(x, y) = h,(x, v) =

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

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Q: (a) Estimate the partial derivative of r with respect to v when v = 90ft/s and 0 = 45 !! or dv (b)…

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Q: Find the Partial Derivatives of the functions with respect to each variable 4) f(x, y)= x + y Ans.…

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Q: For the function f(x,y) = square root of 3x2 + y2 Find the partial derivative of f with respect to…

A: We have to solve

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A: Partial derivative : The partial derivative of a function with several variables is its derivative…

Q: The approximation of the second order partial derivative -is u(x+h,y) - 2u(x,y)+u(x-h,y) u(x+h,y) +…

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Q: Find all the second-order partial derivatives of the functions r(x, y) = ln (x + y)

A: rx+y=lnx+y Partially differentiating with respect to x, we get ∂r∂x=1x+y·∂x+y∂x…

Q: Use the chain rule to calculate the partial derivatives ∂f/∂t and ∂f/∂s. f(x, y) = (x2 + y2)esin xy…

A: c Given function is fx,y=x2+y2esinxy, where x=st and y=lnx+y. We have to find the ∂fdt and ∂fds by…

Q: Use the Chain Rule to find the indicated partial derivatives. P = √u2 + v2 + w², u = xey, v = yex, w…

A: Solution: P=u2+v2+w2   ............(1)Plug the value of u,v & wP =xey2+yex2+exy2

Q: Find the indicated partial derivatives of: -8x 7y - f(x, y) 5а + 2у fr (x, y) = fy(x, y) =

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Q: Find the indicated partial derivative. f(x, y) = xe−y + 4y;     ∂f ∂y (1, 0) ∂f ∂y (1, 0) =

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Q: Find the partial derivative of f with respect to P, treating G as a constant.

A: Given, Let f(G,P) = 3√(GP) where, G is constant

Q: Find the first partial derivatives of the function. Rx, y) = x?y® + 5xdy fx, v) =

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Q: Find the partial derivatives of the function f(x, y) = | cos(-8t2 + 4t + 6) dt fa(x, y) = fy(x, y) o…

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Q: Find the partial derivative. dz 10) Let z = g(x,y) = 2x + 7x2y2 - 8y2. Find A) 14xy2 - 16y B) 2 +…

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Q: Use the Chain Rule to find the indicated partial derivatives. z = x4 + xy3,    x = uv3 + w4,    y =…

A: Definition used-  Chain rule of derivative - The derivative of a composite function is the product…

Q: Find the partial derivatives of the function 2x + 2y f(x, y) = 9х + бу fa(x, y) = fy(x, y) =|

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Q: Find the Partial Derivatives of the functions with respect to each variable 2) f(x,y) = (x² – 1)y+…

A: Explanation of the answer is as follows

Q: Use the Chain Rule to find the indicated partial derivatives. P = Vu? + v2 + w2 , u = xe', v = ye",…

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Q: Find the first partial derivatives and evaluate at the given point. Function Point f(x, y) = e*y²…

A: The given function isf(x, y) =exy2to find fx, fy  at (0, 6)

Q: Find the indicated partial derivatives of: f(x, y) = xye Iy af af ду

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Q: Find the first partial (a) derivatives of the function f(x, y) = x²y√√y + 4y². (b) fxyx of the…

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Q: Use the Chain Rule to find the indicated partial derivatives. P= The Square Root of u^2 + v^2 +…

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Q: Find the first partial derivatives of the function. x - y f (x, y) = x +y fx(X, y) fy(x, y) =

A: We use Quotient  Rule

Q: Find əw/ds and əw/dt using the appropriate Chain Rule. Function Values w = y3 - 9x?y x = es, y = et…

A: GIVEN: w = y3 - 9x2y x = es  y = et s = -4 t = 8

Q: Find the partial derivatives of the function -7x – 4y f(x, y) 8x – 5y f:(x,y) fy(x, y) =|

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Q: Find the first partial derivatives of the function. f(x, y) = x5y fx(x, y) = fy(x, y) =

A: Given ,   f(x,y) = x5y   fxx,y = 5y.x5y-1

Q: Find the first partial derivatives of the function. f(x, y) = x6 + 8xy9 fx(x, y) = %3D fy(x, y) =

A: Solve the partial derivative

Q: Va? + y ? , . a = uv? ,y = u + e"

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Q: a) By using partial derivatives, calculate the slope of the tangent plane for the following…

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Q: Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y, x= s + 2t - u, Əz əz əz…

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Q: Find the first partial derivatives of the function. f(x,y) = 7y/x5 fx= fy=

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Q: Find all the second-order partial derivatives of the functions ƒ(x, y) = x + y + xy

A: We have the given function as f(x, y)=x+y+xy   We have to find all second-order partial…

Q: Use the Chain Rule to find the indicated partial derivatives. P = Vu? + v? + w², u = xe", v = yex, w…

A: Please see the explanation below

Q: Find all the second-order partial derivatives of the functions 41. w = ye^(x2-y) 42.w= (x - y)/( x2…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 + w2), u = x + 7y,…

A: Given that R=lnu2+v2+w2u=x+7y , v=4x-y, w=4xyTo find :∂R∂x,∂R∂yR=lnx+7y 2+4x-y2+4xy2∂R∂x=1x+7y…

Q: Use the Chain Rule to find the indicated partial derivatives. x4 + x2y, x = s + 2t – u, az əz əz əs'…

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