Find all the first partial derivatives of z = a sin 3y – 2y? cos 3x (Choose all applicable answers) O z2 = 3x? sin(3y) + 6y? sin(3z) O zy = 2a° sin(3y) + 3y? sin(3r) O žy = 3a cos(3y) – 4y sin(3x) O zz = 3x cos(3y) – 4y cos(3x) O z = 2x° sin(3y) + 3y2 sin(3x) O zg = 3x? cos(3y) + 6y2 sin(3x) Zy = 3x? sin(3y) + 6y? sin(3x) O zy = 3x° cos(3y) – 4y cos(3x)

Q: 1. Find the first partial derivatives of the function sin a cos B dz 2. Use implicit differentiation…

A: Partial differentiation

Q: 9. Find all the second partial derivatives of Z; given: a) Z = xy³In(3xev ) b) Z = Arctan ( x² /y³)

A: We have to find all the second partial derivatives of Z, where Z=tan-1x2y3. Observe that the…

Q: 3. a.) Find the partial derivative of the function f(x, y) = x² tan y + In( sin xy) 1 b.) IF ƒ(x, y)…

A:

Q: 26) Find the partial derivative of of f= y cos x+ 2x sin z + 5y with respect to y.

A:

Q: 9. Find all the second partial derivatives of Z; given: a) Z = xy³In(3xe ) b) Z = Arctan ( x² /y³)

A: Let us consider the two variable z=f(x,y) The first order partials derivative  is obtained as…

Q: 10

A: Given:

Q: 3. Find the first partial derivatives of each of the following functions. Simplify and label using…

A:

Q: Find all the second order partial derivatives of the given function. f(x, y) = cos (xy 2) - y2 sin…

A: In this question, we need to find all the second order partial derivatives of the given function.

Q: Find all the second partial derivatives T = e-Ar cos(0) Trr Tro %3D Ter Төө = 00 II

A: Solution: The objective is to find the partial derivatives

Q: Find the partial derivative of z with respect to x (32) for z = (3x² + 1) cos(x²y) O None of the…

A:

Q: Consider the following differential equation. (sin(y) – y sin(x)) dx + (cos(x) + x cos(y) – y) dy =…

A:

Q: 75. Find the value of ôz/ðx at the point (1, 1, 1) if the equation xy + z³x – 2yz = 0 defines z as a…

A:

Q: Find all the second partial derivatives. T = e-4r cos(0) -4r 16e cos (0) Trr %3D Tre 4e 4"sin (0)…

A:

Q: find all second partial derivatives:  f(x,y) = ex + tan (x+y^2) i got fx= ex + sec^2 (x+y^2)…

A: We will solve the following partial derivative.

Q: Consider the following differential equation. (sin(y) - y sin(x)) dx + (cos(x) + x cos(y) - y) dy =…

A:

Q: Q2: Find the Partial Derivatives of the functions with respect to each variable x and y and z: 1.…

A: 1. Given function is, f(x,y)=sin2(x-2y) Now, ∂f∂x=2sin(x-2y)×cos(x-2y)…

Q: Find both first partial derivatives. z = sin 5x cos 5y

A: The given function is z=sin5x cos5y. Differentiate the above equation partially with respect to x as…

Q: az Q1. Find the az and ax partial derivative ду x sin(y') + xe – cos (2²) = 3y – 6z + 8

A:

Q: Find the differential dy: y = In(sec² ( 3"-2*+5)). Find the differential dy: y = In(sec? ( 3-2x+5…

A: We have to differentiate given function

Q: Find both first partial derivatives. z = cos(5xy) az ax az ду II II

A:

Q: 9. Find all the second partial derivatives of Z; given: a) Z = xy°In(3xe) b) Z = Arctan ( x² /y³)

A: Since you have posted multiple questions only the first question will be answered. Kindly resubmit…

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: b) Find the mixed partial derivative at the point (1, 2). g(x, y) = sin(x) In (2y) + y ln(x) + 2xe³x…

A:

Q: Find the different partial derivatives of the following function and remember to show your work for…

A:

Q: Consider the following differential equation. (sin(y) – y sin(x)) dx + (cos(x) + x cos(y) – y) dy =…

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 and second partial derivatives of the function f (x, y) = 2x arctan (Use symbolic…

A: Given that f(x,y) = 2xarctan(3x/y). We find partial derivatives of this given function. We know that…

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 all the second partial derivatives T = e-4r cos(0) -4r 16e "cos(0) Tre 4e-4sin (0) -4rsin(0)…

A:

Q: 3. Find all the first and second order partial derivative of the function: z(x, y) = sin(Mx) cos(Ny)…

A:

Q: Find all four second partial derivatives. 14. f(x, y) = x* – 2xy +3y 15. f(x, y)= In(x- y)

A:

Q: Find both first partial derivatives. z = cos(10xy) az ax az ||

A:

Q: Find the partial derivative of z with respect to x z = (3x² + 1) cos(x²y). əz = -2x (3x² + 1)…

A: Given function z=(3x2+1)cos(x2y)

Q: 9. Find all the second partial derivatives of Z; given: a) Z = xy°In(3xev) b) Z = Arctan ( x2 /y³)…

A: a) Given function is: z=xy3ln(3xey) Finding the partial derivative of 'x'…

Q: 9. Find all the second partial derivatives of Z; given: a) Z = xy In(3xe) b) Z = Arctan (x² /y®) %3D

A: Given functions for Z are: (a) Z=xy3ln3xey (b) Z=Arctanx2y3=tan-1x2y3. We have to find second order…

Q: 4. Find the first partial derivatives of the function. z= xsin(ry)

A: We will use the formula  (uv)'=uv'+u'v Given z=x sin(xy) Then the partial derivative with respect to…

Q: Find both first partial derivatives. z = sinh(4x + 8y) az ax az ay II

A:

Q: Find both first partial derivatives. z = cos(7xy) az дх az ay

A:

Q: Consider the following differential equation. (sin(y) – y sin(x)) dx + (cos(x) + x cos(y) – y) dy =…

A: A first order partial differential of the form  Mdx+Ndy=0 is exact if My=Nx.

Q: Find the partial derivatives of the following when z = 0 and y = 1: (sin(5r²y+ 2xy)). (sin(5a'y +…

A:

Q: Find the first partial derivatives of the function. z = 8 tan(xy) dz ay Need Help? Talk to a Tutor…

A: Here we find first partial derivativesof the function z=8 tan (xy)

Q: find all the second partial derivatives of Z and show complete solutions Z= tan-1 ( x2 / y3 )

A: Partial derivative of the function Z=f(x,y) is denoted as The first partial derivative∂Z∂x, ∂Z∂y The…

Q: Find all the second partial derivative T = e-4r cos(0) -4r, Trr 16e 'cos (0) %3D Tre = 4e -4r,…

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

Q: Find all first and second partial derivatives for each of the following functions: z = sin xy x+y X…

A:

Q: Find the first partial derivatives of the function. u(r, 6) = 4 sin(r cos(6)) %3D 4,(r, 6) %3D Ugr,…

A:

Q: 9. Find all the second partial derivatives of Z; given: a) Z = xy³In(3xe' )

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Find all the second partial derivatives (including fxy etc.) a) v = sin(2s^2 − t^3)

A: Please see the explanation below

Q: Find both first partial derivatives. z = cos(9xy) əz ду II

A:

Q: Find both first partial derivatives z = cos(10xy) dz %3D dx az ду %3D

A: We can find the partial derivatives as below

Q: af and дх if f(x,y) = 3x* – 5x²y + 3xy3 + Find %3| ду se sin xy2. x+2y Find the partial derivative…

A: Partial differential equations