(b) Find all first and second partial derivatives of z = x² In(x² + xy).

Q: (a) Find out the first and all second order partial derivatives of the values of the f(x, y) = x'y –…

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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: 6. Find all the second-order partial derivatives the function f(x, y ) = x²y + cos y + x sin y. of

A: Given function f(x,y)=x2y+cosy+xsiny. The objective is to find all the second order partial…

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

A:

Q: Find all the second order partial derivatives of the given function. f(x, y) = xyey

A: The given function is f(x,y)=xye-y2

Q: Find all the second order partial derivatives of f(x, y) = cos(x² + y²) – sin (xy)

A: Partial derivative.

Q: 3: Find all the second-order partial derivatives of the functions a) f(x. y) = x + y + xy

A:

Q: Find all the second-order partial derivatives of the functions w = x2 tan (xy)

A: Consider the given function: Here the objective is to find all second-order partial derivatives of…

Q: Find all the first and second order partial derivatives of f(x, y) = - Vã+ In y. x3

A: While finding the partial derivative of a multivariable function, if we have to find the partial…

Q: Find all the second order partial derivatives of dx дудх ду

A: Since you have asked multipart question, we will solve the first 3 subparts of the question for you…

Q: Find the first order partial derivatives of the function, w=xz-5(x^2)(y^3)(z^4)+ln(x*y^2*z).

A: w(x,y,z)=xz-5x2y3z4+ln(xy2z)

Q: Find both first partial derivatives. f(x, y) = √ (x2 + y2)

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Q: 2. The second order partial derivatives Fxx(x,y) of the function ( F(x,y) =x'y- In (x'-y)) equal .

A:

Q: Calculate the second-order partial derivatives off (x, y) = x3 + y2ex.

A:

Q: ind the first partial derivatives of the function. f(x, y) = x5ey2 fx =       fy =

A: a) Differentiate both sides with respect to x

Q: Find the first partial derivatives of the function. w = In(x + 3y + 6z) %3D

A: Given, The function, W = ln(x + 3y + 6z)

Q: Find all second partial derivatives of z=(e^x)(tan y)

A: Topic- Partial Differentiation

Q: Calculate all four second-order partial derivatives of the function f(x, y) = x² + 2xy + y² You must…

A: take the partial derivative with respect to x

Q: Enumerate and explain the Four Second Partial Derivatives of the Partial Derivative of z with…

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

A: Given function is

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

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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: Find all second-order partial derivatives of the function. f (x,y) =x³+xy³ + y²

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Q: Find all second-order partial derivatives of the function f(x,y) = x + xy – 5x³ + In(x² + 1).

A:

Q: Find the first and second-order partial derivatives of f (x, y) = x - 9x²y+ 3xy af b)

A:

Q: Confirm that the mixed second-order partial derivatives of f are the same. f (x, y) = 4 ln(x² +y²)…

A: This question is based on Partial differentiation.

Q: Find all second-order partial derivatives of the given functions: (c) h(x,y) = In (x² + y)

A: Given; h(x,y)=ln(x2+y).

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: Find all second order partial derivatives of the given functions f( x,y)=cos(2xy²-3x²y³)

A: Given function of two variables is  f(x, y)=cos2xy2-3x2y3. We have to find all second order partial…

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: 2) Find all the second-order partial derivatives of the functions: a. f(x, y) = tan (-)

A:

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

A:

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

A:

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 second order partial derivatives of the given function. f (x, y) = In(x²y – x) %3D

A:

Q: Confirm that the mixed second-order partial derivatives of f are the same. f(r, y) = 3 ln(x² + y³)…

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

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 the function. f(x, у) = 3x + 5y + 4 fy fy

A:

Q: Find the first partial derivatives.  z=x^5-7y

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Q: 4. Find all the second-order partial derivatives of f(x, y) = 2ry In(r+ y).

A:

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

A:

Q: How are the partial derivatives ∂ƒ/∂x and ∂ƒ/∂y of a function ƒ(x, y) defined? How are they…

A: Consider the provided information, How are the partial derivatives ∂f∂x and ∂f∂y of a function fx,y.…

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: Find all the second order partial derivatives of the given function. f(x.y) = x+y

A: Partial differentiation

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

A: We have the given function as f(x, y)=x+y+xy   We have to find all second-order partial…

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

A: