Let y be a function of x and suppose *+y*- xy=9. What is the correct result for the derivative of y with respect to x? 3x² – y dy (A dr 4y³ – x dy 3x2 – y В %3D dx х — 4y- ,3 | dy 4y3 – x | C dx 3x² – y dy 4y³ – x D dr y – 3x ||

Q: Find the second-order partial derivative fxx ( x , y ) of the function f ( x , y ) = x 6y 4 -…

A: Given f(x,y)=x6y4-2x7y8+17x-y

Q: If 5 cos x +3y = 4 then using the implicit differentiation we have Select one: dy 5 sin x %3D dx 9y2…

A:

Q: Find the derivative of the function using the definition of derivative. dy lim dx Ar-0 Ar Ay 1. y=37…

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Q: Find the requested partial derivative. dz 3 if z° = z+ xy - 1 and y = x+ y- 1 dy 3

A: We have to find partial derivative

Q: Use implicit differentiation to find dx dy at x = 3.8 and y = 9.1 if x2 + y4 = xy.

A: The function is given by x2+y4 = xy To evaluate : The value of dydx at x=3.8 and y=9.1

Q: Find the total derivative dz/dy for: z = f(x,y) = 5x+xy−y2 where x = g(y)=3y2

A: Given that z = f(x,y) = 5x+xy−y2 where x = g(y)=3y2

Q: find the total derivative of z = f(x,y) = 2x+xy-y2 where x=g(y)=3y2

A: Given function: z=2x+xy-y2 where x=3y2 Putting the value of x in z , we get…

Q: Find partial derivatives of  hxx ( x,y) , hxy(x,y), hyy (x,y)  For function  h(x,y)= ln ( x^3 +…

A: Given, h(x,y)=ln(x3+y3)

Q: Find the partial derivative of f (x, y) = e2+3y cos (x³y²) with respect to x. O fa (x, y) = e2x+3y…

A: Given f(x,y)=e2x+3ycosx3y2 To differentiate f(x,y) partially with respect to x Let u=e2x+3y…

Q: * :The implicit derivative (dy/dx) of (f(x, y) = y² — x² — sin (xy)) 2x+xcos(xy) 2y-ycos(xy)…

A:

Q: Find the partial derivative of f(x, y) 8x - 2xy2 + y3 with respect to x at the point (2, 1, 61).

A:

Q: Find the partial derivative f(x,y) = x7y fx(x,y) = ? fy(x,y) = ?

A: The given function is: f(x,y)=x7y

Q: Could I get help finding all the second order derivatives please?

A: Given

Q: Use implicit differentiation to find dx/db. cos xy +x=y 3 3x2.x szm xy 3y2 3x2-y sn xy 3y2 x sin xy…

A: dx/db or dy/dx  I think this is misprint I solved as dx/dy and  dy/dx

Q: If f(x, y) = y cos(x) – x* In(y), find the second partial derivative (A dx? -y? cos(x) – 6x In(y) d…

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Q: Suppose x and y are variable (y is a function of x) that satisfy the equation sin(x+ y) =xy, What is…

A: Given : Equation sinx+y = xy Where,  y is function of x   To find : Derivative of y with respect to…

Q: Find the partial derivative of fy for the function 3 f (1, y) = (3x² +y²)* 6 (3æ² + y°)? 32 (3x² +…

A: To find: The partial derivative fy of fx,y=3x2+y23. Given: The function is fx,y=3x2+y23. Concept…

Q: 3) To find the partial derivative of f (x. y) with respect to y at the point (xy. we A)…

A: Solving the question with an example

Q: Suppose x and y are variable (y is a function of x) that satisfy the equation Sin(x+y) =xy, What is…

A:

Q: If f(x, y) = y cos(x) – a° In(y), find the second partial derivative ду дх .A 3x2 = -2y sin(x) ду дх…

A: Option (a) is correct.

Q: Find the first order partial derivative with respect to y S(x, y) = a"y² + 3ze"

A:

Q: Economists have considered the output y of a manufacturing process as a function of the size of the…

A: The output of a manufacturing process as a function of the size of the labor is given as follows.…

Q: Find the Partial derivative of f with respect to y for * 2. y² f (x, y) = x + y

A:

Q: What is the mixed, second order partial derivative of this function. f (x, y) = / 2x² + y²

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Q: (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial derivative.

A: Let us find the four second partial derivatives of the given function in the next steps.

Q: In Exercises -. , find the derivative of y with respect to the appro- priate variable. 37. y = sV1 –…

A: Since, you have asked multiple questions we will answer the first one for you. If you want any…

Q: What is the derivative of y = sin1 (x² + 2)? dy dr /1-(z²+2)² dy O dr 2x V1-(2²+2)² O dz V1+(x²+2)²…

A:

Q: If f(x,y)=3 sin (2x+y)-4 cos (x-y) then the second derivative f , is a. 3 sin (2x+y)+ 4 cos (x-y) b.…

A: In the question it is asked to calculate the double derivative of the function given.

Q: 2(z–1) sinh z cosh I + 3(x – 1)'sech? (z)? Which among the choices will result to a derivative of O…

A:

Q: Find the partial derivative. f(x,y)=x^3+5x^2y-8xy^3. Find fy(x,y)

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Q: Compute the derivative of f (x, y) = (y + 2) + xysin(x) at (0,1).

A:

Q: What is the result of the partial derivative 3(z² + y sin (z)) Select one: a. 2a + y * cos(x)

A:

Q: The second order partial derivative of f with respect to z (mean fz) where f(x, y, z) = x'0 sin(3y +…

A: Given: fx,y,z=x10 sin3y+10z To determine: fzz

Q: Find the second-order partial derivative fxx ( x , y ) of the function f ( x , y ) = x 4 y 4 - sqrt…

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Q: What is the derivative of x² + y² = 9 using mplicit differentiation? dx = xy dy dx = -xy dy dx dy dx…

A: Given query is to find the derivative of the expression.

Q: xy Find all second order derivatives for r(x,y)= 8x +9y xx (x,y) = Tyy (X,Y)= Exy(x,y)=ryx (x,y) = [

A: Given :rx,y=xy8x+9y

Q: 4) Find the total derivative of the function: a.f(x, y) = ex²+y² 1 c. T(l,g) = 2₁ 2TT. b. z = x siny…

A: Total derivative of a function f(x,y) is given by df=fx dx+fy dywhere fx=∂f∂xfy=∂f∂y

Q: What is the mixed, second order partial derivative of this function. f(x,y)=sqrt(2x^2+y^2)

A:

Q: Suppose x and y are variable (y is a function of x) that satisfy the equation sin(x+y) =xy. What is…

A: We have to find derivative

Q: Find the derivative of y with respect to x. 6 y = (x³ In x) %3D dy dx II

A: Please see the below picture for detailed solution.

Q: Find partial derivative of: z=f(x,y)= e^x^2+y^2  +   cos(x+y^2

A: For this question of partial derivative we need to find out first derivative with respect to x and y…

Q: What is the derivative of y = x + Vx + 1 ? y' = 2(x + 1) + 1 O y' = (x + 1) + 1 %3D O y' = (x +1)+ 1…

A: Let's Solve, Answer: Option C

Q: 10. Use the Chain Rule to find the indicated partial derivative if ax F = Vu? + v2 + w², u = xe, v =…

A: F=u2+v2+w2To find ∂F∂x

Q: Let f : R³ → IR be given by f (x, y, z) = x² + 3x + 2y + 2z³ Te Then the partial derivative.

A:

Q: Suppose x and y are variable (y is a function of x) that satisfy the equation sin(x+y) =xy, what is…

A:

Q: The total partial derivative of 7 =x³y2 – 4xy³+x²+ 3y³ can be written as dz=f(x,y)dx+g (x , y) dy̟…

A:

Q: Find all second order derivatives for r(x,y) = ху 5x+ 2y Tox(x.y) = U

A:

Q: dy Find by using partial differentiation where y is defined dx implicitly as y=f(x) for the…

A: We use the chain rule and product rule to find the derivative.…