(a) If f(1, y) = 1 cos y + ye", find the second-order partial derivatives.

Q: g(x, Y, z) = /x² +z-2 + sin(xy – x²)

A: Let's find.

Q: Find all the second-order partial derivatives of the functions g(x, y) = x2y + cos y + y sin x

A: Given equation,

Q: f(x, y) = ln(x + y)

A: for the first order partial derivative we have to find fx = derivative of f with respect to x fy =…

Q: Q1/ Find all the second-order partial derivatives of the functions 1. g(x, y) = x³y + cos y + y sin…

A: Let us consider a two variable function z=f(x,y) then the second derivatives are :…

Q: 22 – 3xy f (æ, y) = x² + y? Calculate the second-order partial derivatives of the functions

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Q: Find the second-order partial derivatives of the functions ƒ(x, y) = x + xy - 5x3 + ln (x2 + 1)

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Q: Find the first partial derivatives of the function.   f(x, y)=-5xy

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Q: Find all the second order partial derivatives of the function : f(x, y) = ln 4xy + sin 3xy + e1x-3y

A: We need to find the second order partial derivative of the function

Q: 1. find all the second-order partial derivatives. f (x,y) = x²y + cos y + y sin y

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Q: A. Find all the first order partial derivatives of the given function. 1. f(x,y)= 2e*Y cos 4x + y…

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Q: Find the first partial derivatives of the given functions. 1. z = x+y / x-y 2. z = ln (x2 + y2)

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

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Q: Find all the second order partial derivatives of g(x,y) = x*y + 5 sin (y) + 4y cos (x).

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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: 3.4 Find the first partial derivatives of f(x, y) = 7x°y* + 9x y° +3. df = 21x y" + 18xy dx of %3D…

A: solution

Q: Find the pure and mixed second-order partial derivatives of (x,y)=In(1+sin(xy)).

A: Given function is

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

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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: Find all second order partial derivatives of the given functions f(x, y) = cos(2xy? - 3x²y³)

A: When the partial differentiation is done with respect to a specific variable, then all other…

Q: _2³.cos(xy) + e"Y³y 1)Calculate the partial derivatives of first-order of the function f(x.y)

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Q: Q2 Find the second partial derivatives of |(x, y) r cos y +y e*

A: Formula: Second Partial derivitave of f(x,y) fxx, fxy, fyx ,fyy.

Q: Find the first order partial derivatives dx of the function: f (x, y) = (6x y – 6)²

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Q: Find the first partial derivatives of the function w = sin a cos B.

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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: Find all the second partial derivatives. T = e-4r cos(0)

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Q: Q1- Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x)

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Q: w= cos(x² +2y)-e* **y + y³

A: Consider the function w=cosx2+2y-e4x-z4y+y3 Here, the objective is to find the first order partial…

Q: 9. If f(x, y) = +, then find the first and second order partial derivatives.

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: Find the first partial derivatives of the function. (x, y) = x/1 + y9 fy

A: First partially differentiate f (x,y) w.r.t x.

Q: and the first partial derivatives of the function. f(x, y) = 4y

A: Given the query is to find indicated partial derivative.

Q: ху x, y) = x² + y2

A: Given function is fx,y=xyx2+y2. We have to find partial derivatives of given function with respect…

Q: Find the pure and mixed second-order partial derivatives of f(x,y)=In(1+sin(xy)).

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Q: 1)Calculate the partial derivatives of first-order of the function f(x.y) =³.cos(xy) + e"x°y°

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

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Q: Find all the second-order partial derivatives of the functions g(x, y) = cos x2 - sin 3y

A: Find all the second-order partial derivatives of the functions g(x, y) = cos x2 - sin 3y

Q: Find all second partial derivatives of the function f(x, y) = (x + 1)³ + 2xy + y³

A: take the partial derivative with respect to x

Q: Find all the first and second order partial derivatives of f(x, y) = -4 sin(2x + y) + 1 cos(x – y).

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Q: 5.3.21 5x cos (xy). Find the first partial derivatives for f(x,y) ox Enter your answer in the answer…

A: Given the function f(x,y)=5x cos(xy), The product rule will work the same way here as it does with…

Q: Find all first partial derivatives. f(x, y) = 4x2 − 2xy + y2

A: Consider the given function  fx,y=4x2-2xy+y2

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

A: th given function:f(x,y)=sinxywe have to find the second order partial derivatives of the given…

Q: Q1/ Find all the second-order partial derivatives of the functions 1. g(x, y) = xy + cos y + y sin x

A: To find- Find all the second-order partial derivatives of the functions gx, y = x2y + cos y + y sin…

Q: z = x sin(xy)

A:

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

A: To find all the second partial derivatives of: f(x,y)=y2x+3y For that, find the first partial…

Q: 27. Find the first partial derivatives of b. f(u, v) = tan-(4)

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Q: Find the four second partial derivatives of the following function f(x,y)-y" cos 4x

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Q: Find all the second order partial derivatives of g(x,y) = x"y + sin (y) + 5y cos (x).

A: Given that, gx,y=x4y+siny+5ycosx Differentiate gx,y with respect to x twice and differentiate with…

Q: The two-dimensional Laplace equation = 0 describes the potentials and steady-state temperature +…

A: given,

Q: Q1- Find all the second-order partial derivatives of the function: -1 s(x, y) = tan¯¹(x)

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Q: А. Find the first partial derivatives of the given functions. x+y 1. z = х-у 2. z = In(x² + y²) 3. z…

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