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Find the second-order partial derivative. 11) Find fxy when f(x,y) = 8x^3y - 7y^2 + 2x.

Question : Find the second-order partial derivative. 11) Find fxy when f(x,y) = 8x^3y - 7y^2 + 2x. : 2151819

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find fx(x, y).

1) f(x, y) = (1/√(x2 + y2))

A) - ((1/2(x2 + y2)3/2))

B) - ((x/2(x2 + y2)3/2))

C) ((y/(x2 + y2)3/2))

D) - ((x/(x2 + y2)3/2))

2) f(x, y) = ln((y9/x8))

A) - (8/x)

B) - (8y9/x)

C) -ln((8y9/x9))

D) -ln((8/x))

3) f(x, y) = lnxy

A) ylnx

B) (1/xy)

C) (y/xy)

D) (y/x)

4) f(x, y) = (e-x/x2 + y2)

A) - (e-x(x2 + y2 + x)/(x2 + y2)2)

B) - (e-x(x2 + y2 + 2x)/(x2 + y2)2)

C) - (2xe-x/(x2 + y2)2)

D) (e-x(x2 + y2 + 2x)/(x2 + y2)2)

5) f(x, y) = xye-x

A) y(e-x - x)

B) e-x(1 - x)

C) -ye-x

D) ye-x(1 - x)

6) f(x, y) = (x2 - y2/x2 + y2)

A) (2y2/(x2 + y2)2)

B) (4xy2/(x2 + y2)4)

C) (2x2y2/(x2 + y2)2)

D) (4xy2/(x2 + y2)2)

7) f(x, y) = (6)√(x7y4)

A) (7(6)√(x7y4)/6x)

B) 7x6(5)√(x7y4)

C) (7x6y4/(6)√(x7y4)

D) (7(6)√(x7y4)/6xy4)

8) f(x, y) = (√(x - 1) + √(2y)/1 + x)

A) ((1 + x/2√(x - 1)) - √(x - 1) - √(2y))(1 + x)-2

B) (1/√(x + 1)(1 + x)2)

C) (x - 1 + 2y/(1 + x)2)

D) (√(2)y/1 + x)

9) f(x, y) = x15 - 5x4y23 + 4y-7

A) 15x14 - 20x3y23

B) 15x14 - 20x4y22 - 28y-8

C) 15x14 - 5x4y23 + 4y-7

D) 15x14 - 20x4y23

10) f(x, y) = ((x3 - y4/x2 + y2))3

A) 3((x3 - y4/x2 + y2))2 ((x4 + 3x2y2 + 2xy4/(x2 + y2)4))

B) ((x3 - y4/x2 + y2))3(x4 + 3x2y2 + 2y4)(x2 + y2)

C) 3((x3 - y4/x2 + y2))2 ((x4 + 3x2y2 + 2xy4/(x2 + y2)2))

D) (x4 - y4/x4 + y4)

Find the second-order partial derivative.

11) Find fxy when f(x,y) = 8x3y - 7y2 + 2x.

A) -28

B) 48xy

C) 24x2

D) -14

12) Find fyx when f(x,y) = 8x3y - 7y2 + 2x.

A) 24x2

B) -28

C) -14

D) 48xy

13) Find fxx when f(x,y) = 8x3y - 7y2 + 2x.

A) 24x2

B) -28

C) 48xy

D) -14

14) Find fyy when f(x,y) = 8x3y - 7y2 + 2x.

A) -28

B) 48xy

C) 24x2

D) -14

15) Find fxy when f(x,y) = 10x2y4 - 7x3y5.

A) 80xy3 - 105x2y4

B) 80xy3 - 21x2y4

C) 160xy3 - 21x2y4

D) 160xy3 - 105x2y4

16) Find fxx when f(x, y) = x5y4 - √(2)x8y8 + 17x - y.

A) 4x3y4 - 7√(2)x6y8

B) 20x3y3 - 56√(2)x6y7

C) 20x4y4 - 56√(2)x7y8

D) 20x3y4 - 56√(2)x6y8

17) Find fyy when f(x, y) = x3y5 - √(2)x8y7 + 17x - y.

A) 20x3y4 - 42√(2)x8y6

B) 3x3y3 - 5√(2)x8y5

C) 3x3y4 - 5√(2)x8y6

D) 20x3y3 - 42√(2)x8y5

18) Find fyx when f(x, y) = x4y5 - √(2)x6y8 + 17x - y.

A) 20x3y3 - 48√(2)x5y6

B) 12x2y5 - 30√(2)x4y8

C) 20x2y3 - 56√(2)x5y6

D) 20x3y4 - 48√(2)x5y7

19) Find fxy when f(x, y) = x4y5 - √(2)x6y8 + 17x - y.

A) 20x3y3 - 48√(2)x5y6

B) 20x2y3 - 56√(2)x5y6

C) 12x2y5 - 30√(2)x4y8

D) 20x3y4 - 48√(2)x5y7

20) Find fxx, where f(x, y) = x5y7 + x6y.

A) 20x3y7 + 30x4y

B) 42y5

C) 20x3y7 + 30x4

D) 5x4y7 + 6x5y

21) Find gyy when g(x,y) = (x/y).

A) - (3x/y2)

B) (3x/y2)

C) - (2x/y3)

D) (2x/y3)

22) Find gyx when g(x, y) = (x/y).

A) - (1/y2)

B) (x2/y2)

C) 0

D) (1/y)

23) Find fxx when f(x, y) = 8xexy.

A) 8xy2exy + 16yexy

B) 8(xexy + x2yexy)

C) 8(xy2exy + yexy + exy)

D) 8x2y2exy

24) Find fxy when f(x, y) = 8xexy.

A) 8(2xexy + xy2exy)

B) 8(2xyexy + exy)

C) 8x2y2exy

D) 8(2xexy + x2yexy)

25) Find fyx when f(x, y) = ln| 2x + 9y |.

A) (-18/(2x + 9y)2)

B) (9/(2x + 9y)2)

C) (18/(2x + 9y)2)

D) (-9/(2x + 9y)2)

26) Find fxx when f(x, y) = ln| 2x + 9y |.

A) - (18/(2x + 9y)2)

B) - (4/(2x + 9y)2)

C) (18/2x + 9y)

D) - (81/(2x + 9y)2)

27) Find (∂2z/∂y2) when z = exln?y?.

A) - (ex/y)

B) - (ex/y2)

C) (ex/y2)

D) (ex/y)

28) Find fyy when f(x, y) = xln(y - x).

A) (x/y - x)

B) - (x/(y - x)2)

C) (x/(y - x)2)

D) - (1/(y - x)2)

29) Find fxy when f(x, y) = xy2 + yex2 + 5.

A) 2yex^2

B) 2y + 2xex^2

C) y + xex^2

D) 2xex^2

30) Find fxy when f(x, y) = (x/x + y).

A) (y - x/(x + y)3)

B) (2y/(x + y)3(x + y)3)

C) (x/(x + y)3)

D) (x - y/(x + y)3)

Solution
5 (1 Ratings )

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Calculus 1 Month Ago 19 Views
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