28. Find all the second partial derivatives of f(x,y) = x²y + x /ỹ. 29. Find the equation of the tangent plane to the given surface f(x, y) : = xy at the point (–1,2,–2).

Q: Find the first partial derivatives with respect to x, y, and z. (x, y, z) = 3x y - 6xyz + 8yz2 %3D…

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Q: 1. Find the first and second partial derivatives (that is f, af, , , and ) of Əx' dy' dx², ay² »…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Find the first partial derivatives with respect to x, y, and z.                                 F(x,…

A: We first simplify the given function using properties of log.

Q: Find ðw/as and dw/at using the appropriate Chain Rule. Function Values w = y³ – 10x3y x = e°, y = e…

A: Given  w = y3 - 10x2y x = es   y = et

Q: Find the first partial derivatives with respect to x, y, and z. 3xz W = x + y dw %3D aw ду aw az %3D

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Q: Find the indicated partial derivatives. f(v, w, x, y) = 2v²w°r*y% %3D af fe of

A: Given that:fv, w, x, y=2v2w3x4y5

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: Compute the partial derivative of the function * f(x, y, z)= el-roos(y) +2e=1/(1+²)

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Q: Find all second order partial derivatives of the functions given below. a)f(x,y)=xy2+x2y3+x3y4…

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Q: Find all the second-order partial derivatives of the function. r(x.y) = In (x + 3y) дудх дхду dy II

A: Given function is rx,y=lnx+3y Differentiate partially rx,y=lnx+3y with respect to x…

Q: Find the first partial derivatives with respect to x, y, and z. 7xz W = x + y aw дх aw ду aw az ||

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Q: v = In(x sin y) + e*+y

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the first partial derivatives with respect to x, y, and z, and evaluate each at the given…

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Q: w = x³y – 3xy? + 2y? - 2y² f(x,y,z) = x²z – 2yz3

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Q: For the function g(x, y) = (x y + x) cos (3 x + y) calculate the second order partial derivative gyy…

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Q: Consider f(x, y, z) = 2x³ – 4y³ + 32³ – 7æ²y²z². Find all the first order partial derivatives fr,…

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Q: Find the first partial derivatives of f(x,y) = 2 e *10y

A: We have to first partial derivative of  f(x , y) = 2 e(x^10)y  Then ,

Q: Compute the given partial derivative. f(x, y) = 8 sin(4x² – y), (0, 1) f,(0, 1) = %3D

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Q: Compute the indicated partial derivative. g(x, y, z) = x³y^z° 9xxyz %3D

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Q: .    Given y = (x, z) = 6x2 + 3xz4 where X(B, E, T) = B2 + 2E + TB Z(B, E, T) = (ETB)1 + B + E…

A: Given that,  y = (x, z) = 6x2 + 3xz4 where X(B, E, T) = B2 + 2E + TB Z(B, E, T) = (ETB)1 + B + E…

Q: Differentiate implicitly to find the first partial derivatives of z. x In(y) + y?z + z² = 19 %3D az…

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Q: Find the first partial derivatives with respect to x, y, and z f(x,y,z)=4x^2y-5xyz+7yz^2 fx(x,yz)=…

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Q: Find the partial derivatives of the function f(r, y) = ryey fz(x, y) fy(1, y) = fzy (r, y) fyz (T,…

A: We need to find the different partial derivative of the function f(x, y)=xye1y

Q: Compute the partial derivative and evaluate at the given point. (a) f(x, y) = 3x?y + 4x³y? – 7xy4,…

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Q: Find the Partial Derivatives of the functions with respect to each variable 4) f(x,y)=\x² + y?

A: We have  f(x,y)=x2+y2 So we can write f(x,y)=(x2+y2)12 And we know that ∂(xn)∂x=nxn-1

Q: Find all the second-order partial derivatives of the functions 41. ƒ(x, y) = x + y + xy 42. ƒ(x, y)…

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

Q: Find all the second-order partial derivatives of the following function. 2х - у w = 3x2 + 3y w 2(2x°…

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Q: Evaluate the first partial derivatives of the function at the given point. f(x, y) = 9e* In(y); (0,…

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Q: Find all the second-order partial derivatives of the following function. w = 4y e 3x2 -y 24y (1 +…

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Q: Use the PARTIAL DERIVATIVES and find the implicit derivative dy/dx at (r, y, z) = (1, 1, 1) on this…

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Q: Find all the second-order partial derivatives of the function. r(x.y) = In (2x + 3y) дудх дхду dy?

A: Given that r(x,y) = ln(2x+3y) We need to calculate all the second order partial derivatives. The…

Q: Evaluate the indicated partial derivatives. f(x, y) = 5x"ye#y (1,1) = af dx -(1, 1) = dy

A: Given: fx,y=5x5yexy for evaluative partial derivative with respect to x, we assume y as constant and…

Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x²y – 5xyz + 10yz?…

A: We will solve the problem

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: Find the first partial derivatives of the function. ах + by cx + dy f(x, у) fx(x, y) = fy(x, y)

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Q: Find the first partial derivatives with respect to Wi y, and z. 5xz W = x + y dw %3D dw dy aw %3D dz…

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Q: Calculate the partial derivatives of each of the following functions: 2r²y x² + y² (a) f(r,y) = (b)…

A: The partial derivatives of the given functions are to be found.

Q: 1)Consider the function f(x, y) = x° + 2xy + y? – 5x b) Calculate the second-order partial…

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Q: Find the first partial derivatives of the function. z = (7x + 8y)7 dz %3D dx %3D dy

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Q: 2. Suppose that f (x,y) is a function so that f(x, 1) = e*- 3x + 2 f(0,y) = y2 +2y Find the partial…

A: We use the definition of partial derivatives to find the partial derivatives.

Q: Solve for the indicated higher-order partial derivatives, fæx, fæy, fyy- · f(x, y) = Vx² + y?

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Q: Find all the second-order partial derivatives of the function. r(x,y) = In (3x + y) дудх дхду dy? II…

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Q: (c) f(x,y) = e* cos y

A: Given function is f(x,y)=excosy

Q: Let 4xyz = e*. dz and dy dz Use partial derivatives to calculate and enter your answers as functions…

A: Find the partial derivative

Q: Find the second order partial derivatives дхду of and дудх f(x,y)= 4x² + In x + e*** – cosy +9y +3.

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Q: Find the first partial derivatives of the function. f(x, y) = x6 + 2xy7 fx(x, y) = %3D fy(x, y) =

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Q: Find the Partial Derivatives of the functions with respect to each variable 13) f(x,y, z) = X- Vy²…

A: Need to find partial derivation of given function

Q: w = xy + z + sin(x+ yz)

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Q: Differentiate implicitly to find the first partial derivatives of z. x In(y) + y²z+ z² = 93 дz əx дz…

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Q: Find the indicated partial derivatives. f(x, y, z) = - i fy(9, 1, 7) + y + z fy(9, 1, 7) =

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