Find the four second partial derivatives. z = y3 - 9xy2 - 2 %3D azz дхду дудх ay?

Q: Find the first partial derivatives for f(x,y) = 5x cos (5xy).

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Q: Find the second order partial derivatives of f(x,y)=(3x+2y)^4

A: f(x, y ) = (3x + 2y)4 ∂f(x,y)∂x = 4 (3x +2y)3(3 +0) ∂f(x,y)∂x = 12 (3x + 2y)3 ∂2f(x,y)∂x2 = 12×3…

Q: Find both first partial derivatives. z = 12y?Vx %3D az %3D ax az ay II

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Q: Find the four second partial derivatives of the following function. f(x,y) = ln (3x2 + 4y2 + 7)…

A: We have to find

Q: Find both first partial derivatives. z = Gy?V az az ay

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Q: Differentiate implicitly to find the first partial derivatives of w. x2 + y2 + z2-9yw + 10w2 5 aw…

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Q: Find all the second partial derivatives T = e-Ar cos(0) Trr Tro %3D Ter Төө = 00 II

A: Solution: The objective is to find the partial derivatives

Q: (d) f (x,y) = ln (4x – 5y)

A: The given function is fx,y=ln 4x-5y. The second order partial derivatives are fxx, fyy and fxy.…

Q: Find all the second partial derivatives of 3 (x,y) = 4r°y– 7xy?

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Q: Find all the second-order partial derivatives of the functions z = xex/y2

A: Given,

Q: Differentiate implicitly to find the first partial derivatives of z. 3x2 + 2y2 + 7z2 = 1 dz Əz %3D…

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Q: Find the four second partial derivatives. z = 7x2 + y9 ax? azz дхду дудх az ay? %3D II II II

A: We have to find the four second partial derivative of the given function. The given function is…

Q: Find both first partial derivatives. z = 16y?Vx az ax az ay

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Q: Find all second-order partial derivatives for the following. ƒ(x, y) = 3x2 + 8y + 5x2y2

A: fx, y=3x2+8y+5x2y2 Partially differentiating with respect to x, we get fxx, y=32x+0+5y2·2x=6x+10xy2…

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 4xe…

A: All four second derivative are evaluated.

Q: 2. Find the four second partial derivatives x² +y2

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Q: Differentiate implicitly to find the first partial derivatives of z. 3x2 + 11y? + 722 = 64 az ? əx…

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Q: Find the first and second partial derivatives (that is dx' dy? Əx², dy² > and Əxðy of (a) f(x, y) =…

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

Q: Calculate all four second-order partial derivatives of f(x,y) = (5x + 2y)e^y

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Q: Find the first partial derivatives of the function f(x, y, z) = xz – 5x²y³z*.

A: Find the first partial derivative of function f(x,y,z)

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 first partial derivatives of f(x,y) = 5 ex°y of 30 e %3D

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Q: Determine the second partial derivatives. u = e" sen y

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

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Q: Find all the second partial derivatives. T = e-4r cos(0) %D rr Tre %3D Ter %3D Tee

A: Given that       T = e-4r cos θ We have to find the second order partial derivatives i.e., Trr , Trθ…

Q: find the partial derivatives of the first and second orders z=x/y^2

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Q: Find the four second partial derivatives of ƒ(x, y) = x2y3.

A: Given function: f(x,y)=x2y3  The four-second partial derivatives of ƒ(x, y) : fxx , fyy , fxy , fyx

Q: B. Find the indicated partial derivatives: af af 7. fls.y) = cn{«-y?), y

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Q: Find both first partial derivatives. Z = 13xVy az %3D az %3D ay

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Q: Find the first partial derivatives of the given functions. z = x3 - xy? + 3y?

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Q: Find the second partial derivatives of f(x,y) = x^2y^5 + 3y^2

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x* -…

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Q: Find all the first order partial derivatives for the fo f(xy) = (2x°y* + 9)?

A: Partial derivative

Q: Find the first partial derivatives of the function. z = (8x + 7y)5 Əz ax az %3D Əy

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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: 1 t3 4u p А (р, t, u) : pt2 u?

A:

Q: Find all second-order partial derivatives for the following. 5 6,5 4.7 R(x,y) = 6x° – 8x°y$ + 3x*y7…

A: We have to find derivative

Q: dz 1. dz ду || 2.

A: The given function is: z=(2x+7y)12.

Q: Calculate all four second-order partial derivatives of f(x,y)=(5x+4y)e^y

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Q: Differentiate implicitly to find the first partial derivatives of w. x2 + y2 + z2 - 1yw + 8w2 = 6…

A: let f(x,y,z,w) = x2 + y2 + z2 - 1yw + 8w2 - 6 =0then fx(x,y,z,w) = 2xfy(x,y,z,w) = 2y-wfz(x,y,z,w) =…

Q: Find the partial derivatives of f(x, y) = 3x°y.

A: Solution:

Q: Find both first partial derivatives. z = x√y

A: Here given z=xy

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

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Q: Find the four second partial derivatives. z = y3 - 9xy2 - 2 a2z %3D a2z дхду -18y %3D a2z дудх -18…

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Q: Find all second-order partial derivatives. f(r, y) = 8ye2=²-7y

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Q: Find both first partial derivatives. z = 10y² Vx Oz dz %3D %3D

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Q: Find the partial derivatives of f(x,y) = ln(sqrt(x^2.y^3))

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Q: Find both of the first partial derivatives. z'y z = e

A: Given,           z=e-x2y

Q: Find the 1st partial derivatives of z=(4x+6y)^11

A: Here we have to find partial derivatives by differentiating it with respect to x ( keeping y…

Q: Differentiate implicitly to find the first partial derivatives of w. x² + y² + z² - 7yw + 10w² = 9…

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