Let 2x² + 9xy + 4y² + 4x − 12y - 16 = 0. dy Use partial derivatives to calculate at the point (3,-2). dx dy da (3,-2)

Q: S (x, y)=x'y² - 4y°

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Q: Find the first partial derivatives of the function

A: NOTE : As you have uploaded multiple questions without specifying which one to solve, we will answer…

Q: 1.) 3 + 높+ 1! 2! + 6 3!

A: The solution is given as

Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

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Q: Find both first partial derivatives. 6y* az ду.

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Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: Find the differential of y = = sec 4x + csc24r %3D O dz (8sec 4xtan4x- 8csc 4xcot4r)dy %3D O dy =…

A: Explanation of the answer is as follows

Q: 6. Use implicit differentiation to find first order partial derivatives: tan-(x²y) = y²z3 +…

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Q: (2х — 1) dx + (5у + 9)dy 3D 0

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Q: Find all of the first partial derivatives: f(x,y) = y³sin(x) + x²tan(y)

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Q: Let -3x³+3y³ + 2x³ + xyz - 673 = 0. Oz дх Oz Use partial derivatives to calculate and at the point…

A: The equation is given by:-We need to find the at point

Q: Please help. *Find fzxy; f(x,y,z) = x⁵y⁸z⁴+y⁴z. *The partial derivative of z = sin(7x³y+8xy²) is;

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Q: y² + y²eG)° + 2x²•G° x': 2xye 6) Zaye*

A: The solution is given as

Q: Find dy/dx using partial derivatives  cos(x-y) = xe^y

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Q: Let 3x² - 7xy + 2y²+x-12y-14=0. Use partial derivatives to calculate dy dz (-2,1) TE at the point…

A: First of all, we will differentiate then we will put the values of x and y