X=x( p,q,s), y=y(p,u,v), s=s(u,v), p=p(t) will be 2. The second order partial derivatives Fxx(x,y) of the function ( F(x,y) =x*y - In (x²-y) ) equal . 3. The differential of the following function ( Z = X' Sin (6Y) ) is equal .. ..........

Q: find a function z = ƒ(x, y) whose partial derivatives are as given, or explain why this is…

A: Partial differentiation is the differentiation of a multivariate function with respect to only one…

Q: Find the first partial derivatives with respect to x, y and z f(x. y.2) - 3x°y - 9 xyz + 10 yz² %3D

A: Given

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 with respect to x, y, and z. f(x, y, z) = 2x²y - 5xyz + 10yz²…

A:

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 with respect to x, y, and z. f(x, y, z) = 3x²y – 4xyz + 7yz2 s(x,…

A: As we know that the sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 Given:…

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

A: Let's find.

Q: Find the first partial derivatives with respect to x, y, and z.                                 F(x,…

A: We first simplify the given function using properties of log.

Q: Find the second-order partial derivatives of the given function, and verify your answer using…

A: The given function is fx, y=y2-3xy+cosy+7ey. The second order partial derivatives of the given…

Q: Let u(x, y) be the solution of the partial differential equation U =u+ yu,, x>0, y> 0, with u(x,1) =…

A: In method of separation of variables we put dependent variables as a multiplication of two functions…

Q: 3. Consider the following function: 3f(x, y) = e*+2y (3x – y) (a) Calculate the first order partial…

A:

Q: Suppose z = f(x,y) has continuous Second Order Partial Derivative and x = r^2+s^2, y = 2rs, Find…

A:

Q: Let u(x, y) be the solution of the partial differential equation (х+1)уи, — и, %3D0, х> 0, у>0, with…

A:

Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y)=2x² − 3y – 4…

A: Solution

Q: 2. z = x + 2 У Х x

A: Solution

Q: a. w = √√x² + y² + z² xy b. w = x+y+z c. w = In√√x² + y² + z² 1

A: Use the procedure of partial derivatives to find with respect to x y and z as in next step.

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 first partial derivatives with respect to x,y and z. f(x. y.z) - 3x°y - 9 xyz + 10 yz %3D

A: Find first partial derivative The derivative of xn with respect to x is given by  ddxxn=nxn-1

Q: to Find the first partial derivatives of g(x,z) = x In (z dg dx ag dz

A:

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: Find the first partial derivatives of f(x, y) = 4x cos(x2 + y?). %3D

A: Given fx,y=4xcosx2+y2

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: 3. z = x+y x-y

A: Given:        z=x+yx-y Partial derivative with respect to x:      ∂z∂x=∂∂xx+yx-y      Treat y as…

Q: Find the first partial derivatives with respect to x and y of f(x,y) = (4x-y)/(4x+y) at the point…

A:

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

A:

Q: .    Given y = (x, z) = 6x2 + 3xz4 where X(B, E, T) = B2 + 2E + TB Z(B, E, T) = (ETB)1 + B + E…

A: Given that,  y = (x, z) = 6x2 + 3xz4 where X(B, E, T) = B2 + 2E + TB Z(B, E, T) = (ETB)1 + B + E…

Q: 5. Given that 5x623 W = The value of x, y and z are measured with maximum percentage error of 1%, 2%…

A:

Q: 1 Find the partial derivative with respect to y of the function (2 x – 3) (3 y + 1)i el-5 z+5). -5…

A: To find the partial derivative of the given function with respect to y (2x-3)1/4(3y+1)1/4e(-5z+5)

Q: find a function z = ƒ(x, y) whose partial derivatives are as given, or explain why this is…

A: We integrate f_x with respect to x and find f(x,y) Here g(y) is a function of y and c is…

Q: find a function z = ƒ(x, y) whose partial derivatives are as given, or explain why this is…

A: We will find f(x,y) from both partial derivatives.  Where g(y) is a function of y and c is…

Q: Find the first partial derivatives of the function a) f(x, y) = x*y-2 – 4xy + e7y + In (2x) b) c =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: Find the first partial derivatives with respect to x,y and z f/x.y.2)= 3x'y- 9xyz 1 10 yz? 9xyz + 10…

A: Given:         fx,y,z=3x2y-9xyz+10yz2 First partial derivatives with respect to x,y,z.…

Q: 4. Given that c(t) = t² + 2, y(t) = t³ – 2t and f(x,y) = x² sin (xy). Using the df and evaluate it…

A:

Q: Q8:- Find the second order partial derivatives of the following function 1) f(x, y) = x²y+ cos y + y…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

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: and the first partial derivatives with respect to x, y, anc 5xz x + y W W W || II || W =

A: Topic:- application of derivatives

Q: Find all the first order partial derivatives for the following function. f(x, y, 2) %3 2(e Х) У af…

A:

Q: 2. Suppose that f (x,y) is a function so that f(x, 1) = e*- 3x + 2 f(0,y) = y2 +2y Find the partial…

A: We use the definition of partial derivatives to find the partial derivatives.

Q: If z = sin(x/y) and x = ln (u) and y = v^4, find the partial derivatives of z with respect to u and…

A:

Q: Find the first partial derivatives of the given functions. 1. z = x3 – xy? + 3y?

A: SOLUTION-

Q: z = xey + y ex

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 19. Given w x³ + ln(3x − 5y²), find the partial differentiation for x and y.

A:

Q: 2. For the function f(x, y) = V³ + y³ find both partial derivatives at the point (0,0) (separate by…

A: We find the partial derivative of X and y separately and substitute the given point in obtained…

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 with respect to x, y, and z. 3xz w = x + y aw ax aw ду dw az

A: To find the partial derivatives of the function

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

A: