58. Find the value of ax/ at the point (1,-1,-3) if the equation x+ y lnx +4 = 0 defines x as a function of the two independent variables y and z and the partial derivative exists.

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

A: We need to find partial derivative.

Q: Find both first partial derivatives. z = 8y2 sqaureroot x

A:

Q: Evaluate the indicated partial derivatives. 2 = 9r*y – 3r*y az az dy

A: We know that, The Power law: ddxxn=nxn-1   Given: z=9x2y-3x5y

Q: 7) Find all the second partial derivatives of f(x,y) = x³y% + 2aªy.

A: Second derivative

Q: Find the partial derivatives fx (3,5) fy (3,5) for the function f(x,y)= y^2/x-y

A:

Q: If f(x, y, z) = 16xy – 4yz – 4zx + 3, then the first order partial derivative fz = - - (4y + 4x) - –…

A: When a function is differentiated concerning a particular variable and the rest all the variables…

Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x,y)…

A: Please see the below picture for detailed solution for detailed solution.

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. 6y* az ду.

A:

Q: Find the value of at the point (1,1,1) if the equation 3xy +z°x-2yz = 2 defines z as a function of…

A: First do the partial differential in both the sides and then separate ∂z∂x and then put the value…

Q: Find the first partial derivatives of the function. z = (7x + 8y) az !! ax %3! ду

A:

Q: Find both first partial derivatives. z = 13xy az az ду II

A:

Q: Suppose that your best friend has calculated the partial derivatives of a given functionf(x,y)and…

A:

Q: could I get help finding all the 2nd order derivatives please

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Q: 5xy = 4x²z – 3yz2; yx and y,. -

A:

Q: Differentiate implicitly to find the first partial derivatives of z. 11x2 + 5y2 + 3z² = 100 az əx az…

A: Given,  11x2+5y2+3z2=100

Q: The partial derivative fx(-1,0) of ƒ(x, y) = xe³ + x² + 1 is equal to −1. Select one: True False

A:

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

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Q: Find the partial derivative fx ( x , y ). f ( x , y ) = x ln ( 3x + 4y )

A:

Q: 4+2x If g(x.y) = By then the mixed partial derivative at the point (- 2. is:

A:

Q: y² + y²eG)° + 2x²•G° x': 2xye 6) Zaye*

A: The solution is given as

Q: Find both first partial derivatives. z = 4y²/x az ax az ду || ||

A: z=4y2x

Q: Find both first partial derivatives. z = 2y2√x

A: fx = differentiate with respect to xfy=differentiate with respect to yddxxn=n xn-1

Q: In substituting the point (4,1,2) in the partial derivatives, why does the terms without x and y…

A: In part (2), we have the following: ∂g∂x4,1,2=-π1 sin4π -14-1 ln3log332 Now, sin4π=0 So,…

Q: Differentiate implicitly to find the first partial derivatives of z. 7x2 + 5y2 + 2z2 = 25 az ax dz

A:

Q: Find both first partial derivatives. Z = In

A:

Q: 5/(A)Evalute ex² dxdy. (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial derivative.

A:

Q: Find the first partial derivatives of the funct f(x, y) = x8 + 7xy5 fx(x, y) =

A:

Q: Find both first partial derivatives. : = 6y²/x az ? Əx az ? ду II II

A: We have to find the partial derivative

Q: Find all second-order partial derivatives for ƒ(x, y) = -4x3 - 3x2y3 + 2y2.

A: To find all second-order partial derivatives for f(x,y)=-4x3-3x2y3+2y2.

Q: How many second partial derivatives does ƒ (x, y, z, t) have?

A: We have to find the number of second partial derivatives.

Q: Q4) If Z-y , Determine the first order partial derivative (w.r.t, x) and (w.r.t, y)

A: To find: The first order partial derivative of Z=yx2 with respect to x and y. Concept used: The…

Q: If g(x.y) -4+2x %3D then the mixed partial derivative at the point (- 2. is: 8y

A: we have given g(x, y).  We have to find the mixed partial derivative at the point (-2, 1/2)

Q: 2) Let f(x, y) = x sin(2y) + 5y¹. Find fyyyyyyyyyy (x, y) (10 partial derivatives), explaining how…

A: Here the given function is f(x,y)=xsin(2y)+5y4x. We have to find the 10 times partial derivative of…

Q: If f is a function of three variables that has continuous second-order partial derivatives, then…

A:

Q: Find both first partial derivatives. z = cos(x2 + y2)

A: Given , z=cos(x2+y2)we have to find the first partial derivative

Q: Find the value of at the point (1, 3, 1) if the equation 6xz + ylnx – 5x² – 1 = 0 defines x as a…

A: Given equation is, where x is a function of two independent variables y and z and the partial…

Q: 6,3 + 4x°y +5. 5. 2 Find the first partial derivatives of f(x, y) = 5x°y° + 4x°y +5. af dx II

A: Given: fx, y=5x6y3+4x5y2+5 To  Find: ∂f∂x=?

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

A:

Q: Find the value of dx at the point (1,1,1) if the equation 6xy + z"x-2yz = 5 defines z as a function…

A: Given: (x,y,z)=(1,1,1) and z=6xy+z4x-2yz-5=0

Q: Q14. If V = f(2x – 3y,3y- 4z,4z – 2x) then apply chain rule of partial derivatives to prove that 6-…

A:

Q: Differentiate implicitly to find the first partial derivatives of z. x2 + xy + y2 + yz + z2 = 0 az…

A: topic - partial differentiation

Q: Consider a firm whose revenue is expressed through the function R(x,y)= 4x³y², where x and y…

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Q: az (8) Find variables z and y and partial derivative exists. if the equation yz – In z = x² +y?…

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Q: Suppose that z = z (x, y) is a function that admits partial derivatives of the first order which…

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Q: Find the 1st partial derivatives of z=(4x+6y)^11

A: Here we have to find partial derivatives by differentiating it with respect to x ( keeping y…

Q: (b) Form the partial equation by eliminating function f from z = f(x?

A:

Q: Suppose a particular investor derives utility function - U(x, y) - from owning x units of stocks and…

A: