Find the partial derivative at point(u,v)=(-4,0) of w=ln(xa+yb+za),x=uevsin u y=uevcos u, z=uev, where a=6, b=5. Show all necessary steps

Q: Find both first partial derivatives. z = 15XVY 15xVy %3D dz az

A: We need to find partial derivative.

Q: Find the indicated partial derivative f(x,y,z) = x2cos(yz),     fxzy

A: Consider the function  fx,y,z=x2cosyz

Q: Compute the indicated derivative using the chain rule. x = 6 + 3t, y = −8t;  dy dx

A:

Q: Find the indicated partial derivative. f(r, y, :) = e"vz*; fzyz fxyz(x, Y, z) =

A: Given: f(x,y,z)=exyz3 To find: fxyz=?   Required formulas: Power rule: ddxxn=nxn-1 Product rule:…

Q: Find partial derivative føyz of the function f(x, Y, z) = z ln x + 2y

A:

Q: Use implicit partial differentiation to find at (-2,3,2) if x? +y +z = 2yz-6xy+1. %3D

A: The given function is: x2+y2+z2=2yz-6xy+1

Q: Determine the second-order partial derivative for the indicated function f(c,y) = cos(2x² – 3y?)…

A: Partial derivative of a function g(x,y) with respect to x is the derivative of g(x,y) keeping y…

Q: Use the Chain Rule to evaluate the partial derivative at the point (u, v) = (0,5), where g(x, y) = x…

A:

Q: Find the indicated partial derivative. f(x, y, z)=euz²; fzyz fxyz(x, y, z) =

A:

Q: Find all second order partial derivative with respect to variable x and y. F(x,y)= x cosxy + y sinx…

A: We have to find all second order partial derivative with respect to variable x and y: Given:

Q: a?f (or and y. that is, f(x,y) = e² with respect to ayax axay Calculate the second-order partial…

A:

Q: Find the value of dz at the point (1)1, If the equation 5xy+ z4x -Qy2 =4 %3| defines z as a function…

A: Given 5xy+z4x-2yz=4to determine dzdx  at  (1, 1, 1)

Q: Find both first partial derivatives, as well as fy for

A:

Q: What is the largest value that the directional derivative of ƒ(x, y, z) = xyz can have at the point…

A:

Q: Find the partial derivative. (2² + 4x – 4y)* z = dz

A:

Q: Find the partial derivative, g„ where g(x,y)=sin° (2x+ y).

A: Find your answer below

Q: Find the gradient of the function w = xy2z2,  and the maximum value of the directional derivative at…

A: Given function:    w=xy2z2

Q: (a) Find the partial derivative of f with respect to x. fx(X, y) = (b) Find the partial derivative…

A:

Q: Compute the indicated partial derivative. 5x g(x, y) = x + 2y a?g ду? =

A:

Q: Find the Partial Derivatives of the functions with respect to each variable 4) f(x,y) x+ y Ans. 5,-…

A:

Q: Find Partial Derivatives for z = sin(x)cos(xy)

A:

Q: Compute the partial derivative fxxyz for f(x, y, z) = cos(cos(x3 + z2 )) + x2 ln(y2 + z2 ).

A:

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

A:

Q: If we are getting the partial derivative of f(x,y) with respect to x, we are letting the y variable…

A: hello greetings from bartelby.i am here to help you.

Q: Find both first partial derivative Z = 15x x/y az az ду

A: As we know that: The the Power law: ddxxn=nxn-1 From the given problem: z=15xy

Q: find the first partial derivative  f(x,y) = squareroot (2x+y^2)

A:

Q: 1 log3(r – y)*

A: Given; fx,y=1log3x-y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Find the first-order partial derivative with respect to x of f(x,y) = e5x siny.

A: To find the first-order partial derivative with respect to x, given function, fx,y=e5x sin y

Q: Use the limit definition of partial derivatives to compute the partial derivative of the function…

A: We will find the partial derivative as following .

Q: Find all second order partial derivative with respect to variable x and y. F(х,у)- х сosxу + y sinx…

A:

Q: Find dw/ds and dw/at using the appropriate Chain Rule. Function Values w = y - 5x²y x = e°, y = e S…

A:

Q: Differentiate implicitly to find the first partial derivatives of w                          cos xy…

A: Given equation is cosxy+sinyz+wz=20.

Q: Show that the function has partial derivative at the point (0,0) but is discontinuous at this point.

A: solve the following

Q: Determine the indicated (in the attached image) partial derivative of  f(x, y) = 3x3y2 + ln(2x2 -…

A:

Q: B) Find the derivative of the foiiowing: 1) y = 2sin2(5x) ,2) y = x, 3) xsin-14y = y tan-14x 4) y =…

A: As per the company  guidelines we have to solv first 3 subparts if suborats are not mentioned  So…

Q: Find partial derivative af for the function f(x,y) given below exp 2x. siny .(at the point (In2, 0

A:

Q: Find the indicated partial derivative. f(r, y, :) = c=v="; fzyz

A: Given,f(x,y,z) = exyz6

Q: Find the indicated partial derivative.

A: Given that, f(x, y) = y sin-1 (x, y) We have to find fy(1, 1/2).

Q: Find both first partial derivatives. z = sinh(7x + 5y) az ax az ду || ||

A:

Q: Evaluate the required second order partial derivative. Find fxy(5,-1), if f(x,y)= -2xe5y

A:

Q: Find the maximum rate of change of f(x, y, z) = tan(2x + 7y + 3z) at the point (– 2, – 3, – 6). - -

A:

Q: Calculate the second-order partial derivative of f(x.v) =sin(x³v?) with respect to x and y, that is,…

A:

Q: dg Use the Chain Rule to evaluate the partial derivative at the point (r, 0) = (2/2, 7 where g(x, y)…

A:

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

A: →While calculating ∂f(x,y)∂y , consider 'x' as constant.→∂∂yuv = v∂u∂y-u∂v∂yv2

Q: find the partial derivative of the function with respectto each variable. h(x, y, z) = sin (2πx + y…

A: We have to find the partial derivative of the function with respect to each variable   The given…

Q: Calculate the partial derivative f(5, 2, 5), where f (x, y, z) = xyz.

A:

Q: (b) Find the partial derivative, g where g(x,y)=sin' (2x+y). (c) Given z= In(2x+3y) with x 2s' (t-s)…

A:

Q: Use the Chain Rule to evaluate the partial derivative at the point (r, 0) = (2V2, ), where g(x, y) :…

A: