Find both first partial derivatives. z = 6y?/x az az ду

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

A: We need to find partial derivative.

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: Find both first partial derivatives. 18y2 x az %3D ax dz ду

A: The given function is:z=18y2x

Q: find all the second partial derivatives of the functions. Simplify all answers. 20. ==xy + y In xy

A: Here, the given function is: z=xy+yln(xy) To find all the second-order partial derivatives of z.

Q: Find both first partial derivatives. Z = sinh(9x + 8y) az %3D az ду Submit Answer

A: The objective is to find both first partial derivatives.

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: Find the partial derivative. 17zy

A: Given, ∂xe17xy∂x We have to find the partial derivative.

Q: Find the Partial Derivatives of the functions with respect to each variable 3) f(xу) - (ху-1);* Ans.…

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Q: Find the first partial derivatives

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Q: Find both first partial derivatives. h(x, y) = e-(x$ + y5)

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Q: Find both first partial derivatives. 6y* az ду.

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Q: 2+ yety y' : 2у - хеху

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

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

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Q: Differentiate implicitly to find the first partial derivatives of z…

A: the given implicit function is:xlny+y2z+z2=8

Q: 2. Find the four second partial derivatives x² +y2

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

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Q: Differentiate implicitly to find the first partial derivatives of z. 3x2 + 11y? + 722 = 64 az ? əx…

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Q: compute all the 1st and 2nd partial derivatives of x2 sin (x+y)

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Q: Find the indicated partial derivative. 4x. f(x, у) 3 5y е **; дудх дудх

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Q: Find the requested partial derivative. dz z= (3x +4y) ; (2,5)

A: Option D is the correct option. Use the chain rule to find the partial derivative for z w.r.t x.

Q: Find the indicated partial derivatives. y+ Sz az dy ex

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Q: Differentiate implicitly to find the first partial derivatives of z. 7x² + 3y² + 11z² = 36 əz əx əz…

A: Differentiate implicitly to find the first partial derivatives of z.   7x ^ 2 + 3y ^ 2 + 11z ^ 2 =…

Q: Find both first partial derivatives. z = sinh(7x + 16y) az ax az ду

A: From the given problem: z=sinh7x+16y As we know that: The chain rule: fgx'=f'gx·g'x The Power law:…

Q: Find both first partial derivatives. z = 25xy əz əx əz ду II

A: Given:       z=25xy      ∂z∂x=∂∂x25xy treat y as constant. Taking constant out…

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

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Q: Find both first partial derivatives. z = 10y?/x az ax az ду II

A: Solution-

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

A: z=4y2x

Q: Find both first partial derivatives. z 13XVY az az ду

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Q: Find both first partial derivatives. z = sinh(6x + 19y) dz дх dz ду

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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: 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: Confirm that the mixed second-order partial derivatives of f are the same. f (x, y) = 7 ln(x² – y³)…

A: This is the question of partial differentiation.

Q: Find both first partial derivatives. az

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Q: Find both first partial derivatives. z = 9xVy az az ду || ||

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

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Q: 5xy = 4x²z – 3yz²; yx and yz.

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Q: Find the partial derivatives of the function with respect to each variable.

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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: Differentiate implicitly to find the first partial derivatives of z. 2x? + 5y2 + 11z² = 81 %3D az ax…

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Q: Evaluate the indicated partial derivative. -9xy- 3r-y: ду

A: We are given that z=9x2y-3x5y. Now,              ∂z∂y=∂ ∂ y9x2y-3x5y=∂ ∂ y9x2y-∂ ∂ y3x5y=9x2-3x5

Q: Find both first partial derivatives. z = cosh xy2

A: Given: z=cosh xy2 To determine: ∂z∂x& ∂z∂y

Q: Find the indicabee.partial. derivative.s

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Q: 5. Find all the second partial derivatives f(x, y) = 2x + 3y

A: To find all the second partial derivatives of: f(x,y)=y2x+3y For that, find the first partial…

Q: Find the partial derivative of u = x^2 + y^2 + z^2 - 4xyz

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Q: Find both first partial derivatives. z = x2e2y

A: Given function is z=x2e2y. Partial derivative means derivative of function with respect to one…

Q: Find * if yz – In z = x +y 3.

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