3. Find the first partial derivatives with respect to x, y, and z. 6xz 4x+3y dw dw dw 18yz (4x + 3y)? dz 18yz 4x +3y dz 18xz 6x а. (4x + 3y)? dy 4x+3y 18xz dw dw 6x b. dw 4x +3y dy (4x + 3y)? 18yz 18xz 6x с. 4x + 3y dy 4x+3y dz (4x +3y)² d. dw 18yz 18xz dw бх (4x +3y)? dy 18yz (4x +3y)? dy (4x + 3y)?' dz 4x + 3y 18xz dw бх е. (4x +3y)² ' dz (4x +3y)?

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Q: 3ry Find the following partial derivatives of f(x,y) =7yey. f-(T, y) = | 21e3xy² %3D fy(x, y) =…

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Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x3y - 3xyz + 9yz2 %3D…

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Q: If z = f(x, y) has continuous second-order partial derivatives and x =r* +s² and y = 2rs , find a)…

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Q: Show that the mixed partial derivatives fxyy, fyxy, and fyyx are equal.                       f(x,…

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Q: 1-find both first partial derivatives  f(x,y)=x^2 e^xy

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: Find the indicated partial derivatives. f(v, w, x, y) = 2v²w°r*y% %3D af fe of

A: Given that:fv, w, x, y=2v2w3x4y5

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Q: 8. Find the first partial derivatives with respect to x, y, and z. 6xz w = 4x +3y 18xz 18yz (4x…

A: find the partial derivative as following:-

Q: Find the first partial derivatives of the function. w = In(x + 2y + 5z) aw ax aw ду aw Əz II II

A: w= ln(x+2y+5z) To find: Partial derivative with respect to x,y,z.

Q: Find all second-order partial derivatives for the following. R(x,y) = 4x- 2x°y° +5x*y" Ryy Rxy Ryx

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Q: Consider the partial derivatives f#(x, y) = 5x*y7 – 9æ²y, fy(x, y) = 7x°y® – 3æ³. | Is there a…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the first partial derivatives with respect to x, y, and z, and evaluate each at the given…

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Q: w = x³y – 3xy? + 2y? - 2y² f(x,y,z) = x²z – 2yz3

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Q: Find all the second partial derivatives of the function a) f(x,y) = x* – 3x²y³. %3D | b) f(x,y) =…

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Q: If u = f(s, t) has continuous second-order partial derivatives and s(x, y) = 6x2 –- 8ys and t(x, y)…

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Q: If z = f(x, y) has continuous second order partial derivatives and x = 2r2 As z = f(x, y) kontinue…

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Q: Find the first partial derivatives of the function. w = In(x + 3y + 6z) 3 %3D ду x + 3y + 2z aw dz…

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Q: Show that the mixed partial derivatives fxyy, fyxy, and fyyx are equal.                      f(x, y,…

A: Consider the given function, fx,y,z=2zx+y Calculate fxyy…

Q: Find the second order partial derivatives of S(r. y) = (3r +2y) Sm(r, y) = 36(3r + 2y)? Sw (r, y) =…

A: The given two-variable function is: f(x,y)=(3x+2y)4

Q: If z = f(x,y) has continuous second-order partial derivatives and x=r² +s? and y= 2rs , find 1) a)…

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Q: Show that the mixed partial derivatives Fxyy, Fyxy, and Fyyx  of F(x,y,z) = 2z / (x+y) are/aren’t…

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Q: Find the first partial derivatives of the following function. F(w,x,y,z) = 4w 4x + 9y + 5z Fw = Fx:…

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Q: Find all second-order partial derivatives for the function r= In 7x+y. ry xx XX Txy 'yx %3D Tyy %D…

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Q: Find all the first partial derivatives of z = 5a y-8y. (Choose all applicable answers.) O z = 40x'y-…

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Q: Find the partial derivatives with respect to x of the function xy^2 -5y+6. * O y^2 - 5 O y^2 O xy-5y…

A: We have to find partial derivative with respect to x. Let, f(x,y)=xy2-5y+6

Q: Find all the second order partial derivatives of the given function. fx, y) - ху 2 + ye x2. ´(1 +…

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Q: Find the first partial derivatives of the function. z = (8x + 7y)5 Əz ax az %3D Əy

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Q: 4) Find all first-order partial derivatives w = f(x,y, z) = 2x³y³ – /xyz + 4z6x y3

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Q: Find all the second-order partial derivatives of the function. r(x.y) = In (2x + 3y) дудх дхду dy?

A: Given that r(x,y) = ln(2x+3y) We need to calculate all the second order partial derivatives. The…

Q: Find the partial derivatives of f(x, y) = 5x°y°. (a) fz(x,y) (b) fy(x,y) =[_ (c) f«(5, y) = (d)…

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Q: Evaluate the indicated partial derivatives. z = 7x°y – 4r'y dz dz fie

A: Use partial fraction

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A: The given function is: z=(2x+7y)12.

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A: handwriting solution

Q: Find all the first order partial derivatives for the following function. fx, y, 2) - ze (ху) O af…

A: ∂ex∂x = ex.

Q: Find the first partial derivatives of the function. W = In(x + 3y + 6z) 1 x + 3y + 6z aw 3 ду х+ Зу…

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Q: Find the four second partial derivatives. z = y3 - 9xy2 - 2 a2z %3D a2z дхду -18y %3D a2z дудх -18…

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Q: Find all the first partial derivatives of z = 3x°y° - 7x°y°. (Choose all applicable answers.) O zy =…

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Q: Differentiate implicitly to find the first partial derivatives of z. x² + xy + y2 + yz + z2 = 0 %3D…

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Q: Find the first partial derivatives of the function. w = In(x + 6y + 9z) aw %3D ax aw ду aw Əz II II

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Q: Find the partial derivatives of S with respect to x and y. Sx = 2(x – 8) – 2(y – x) Sy = 2( ) + 2(y…

A: Topic  =Partial Derivative

Q: If f(x, y) = 15xy – 5 x²y² and all its first and second order partial derivatives are continuous,…

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Q: Find all the first order partial derivatives for the following function. f(x, y, z) = af af yz af 1…

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