f(x, y) = xVy + y²; (2, 1)

Q: Find both first partial derivatives. z =xy/ (x2 + y2)

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

A:

Q: Find both first partial derivatives. f(x, y) = 2x − 5y + 3

A: Here the given function

Q: Find the first partial derivatives for f(x,y)= 9x cos (3xy). of dx

A: To find the first partial derivatives  f(x,y) =9x cos 3xy

Q: Find the first partial derivatives of the function (2x + 9y)'². = Z dz 1. дх dz 2. ду

A: To find the first partial derivatives of the function: z=(2x+9y)12 So, z is the function of x and y.

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: 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: Find all the second-order partial derivatives of the functions ƒ(x, y) = x2y3 - x4 + y5

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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 derivatives of the function.   f(x, y)=-5xy

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Q: Find both first partial derivatives. h(x, y) = e-(x$ + y5)

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Q: z = x3 – xy? + 3y² |

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Q: Find the first partial derivatives with respect to x, y, and z. 7xz x+y

A: This question is related to differentiation, We will solve it using given information.

Q: Find the second order partial derivatives of the function: f(x,y)=x* +xy° +x+4.

A: In the case of function of two variables there will be a total of four possible second order…

Q: Find all second partial derivatives of the function f(x, y) = xy + x° + y at the point xo = (2,4). =…

A: Consider the case of a function of two variables, f(x,y) since both of the first order partial…

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

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

A:

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 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: 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: Find the first partial derivatives of the function. f(x, y) = x/ 1 + yo 1+y5 2 5 x 1+ y 4 5xy1 *…

A: We have to find derivative

Q: Find the first partial derivatives for f(x.y)= 10x cos (3xy)

A:

Q: f(x, y) = 9 X 9+y

A: Partial derivative problem

Q: Find the first partial derivatives of the function. x9 - y5 f(x, y) = x + y fy =

A: The objective is to find the partial derivatives of the function.

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 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 the first partial derivatives of the following function. f(x,y)%3D2x

A: Given,  f(x,y)=2x8y

Q: Find the first partial derivatives of the function. x5 - y? x7 + y° f(x, y) II

A: partial derivative

Q: Find the first partial derivatives of the function. f(x, y) = (e* + e)3 f, = fy =

A:

Q: Find all second order partial derivatives of f(x, y) = 6x²e3y

A: Consider the function fx,y=6x2e3y

Q: Find the first partial derivatives of the function. f(x, y, z) = x7yz2+ 4yz

A: From the given problem:   fx,y,z=x7yz2+4yz   So,   fxx,y,z=∂f∂x=∂ ∂ xx7yz2+4yz=∂ ∂ xx7yz2+∂ ∂…

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: f(x.y.2) = x²yz° + xy - z

A: To  Find the first partial derivatives of the given function

Q: Find all the first and second partial derivatives of the function f(x, y) = x²y – 3y“.

A:

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

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

Q: Find the first partial derivatives of fx and fy of the function f(x,y) = 4e2x - x3y5

A:

Q: Find the partial derivatives of f(x, y) = x³y²

A: Solution ) f(x ,y ) = x3 y2 a) Partial differentiation with respect to x  fx( x ,y ) = 3x2y2 [ y is…

Q: Find the first partial derivatives of the function. x5 - y5 x° + y f(x, у)

A:

Q: Find the Partial Derivatives of the functions with respect to each variable 4) f(x, y) = x +y²

A: Partial derivative means when we take derivative with respect to one variable than other variable…

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: 1. z=x - xy + 3y ?

A: Given: z = x3-xy2+3y2 To find: The first partial derivatives of the given function.

Q: Find the first partial derivatives of the function f (x, y) = y5 – 3xy.

A:

Q: Find * if yz – In z = x +y 3.

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Q: Compute the first partial derivatives of the function. f(x, y) = x − y /y + 6x

A: To compute the first partial derivatives of the given function.

Q: Find all the first and second partial derivatives of f (x, y) = 2x°y+ – 4x³y®

A: Given,           fx,y=2x3y4-4x5y6