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Find the partial derivative. 1) Find fx(8, -4) when f(x,y) = 7x^2 - 9xy.

Question : Find the partial derivative. 1) Find fx(8, -4) when f(x,y) = 7x^2 - 9xy. : 2151816

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

Find the partial derivative.

1) Find fx(8, -4) when f(x,y) = 7x2 - 9xy.

A) 160

B) -76

C) 148

D) 76

2) Find fy(-3, 1) when f(x, y) = 8xy - 9y.

A) 0

B) -24

C) -33

D) 8

3) Find fx(-2, 3) when f(x, y) = (2x + 7y)2.

A) 18

B) 34

C) 68

D) -16

4) Find fx(3, -1) when f(x, y) = x3 + 2x2y.

A) 21

B) 39

C) 33

D) 15

5) Find fx(-3, 5) when f(x, y) = 5x3 - 2xy - y.

A) 124

B) -11

C) -10

D) 125

6) Find fx(-3, -6) when f(x, y) = e7x + 4y. Leave your answer in terms of e.

A) e-45

B) 4e-45

C) 7e-45

D) 7e3

7) Find fx(3, 6) when f(x, y) = ln|xy + x + y + 1|.

A) (1/4)

B) (1/28)

C) ln28

D) (4/ln 28)

8) Find fy(9, 3) when f(x, y) = yexy. Leave your answer in terms of e.

A) e27 + 3e27

B) e27 + 27e27

C) 27e27

D) 3e27 + 27e27

9) Find fy(-1, 2) when f(x, y) = (2xy3/x2 + y2).

A) (48/25)

B) - (56/5)

C) (184/25)

D) - (56/25)

10) Find gx(2, 1) when g(x, y) = ln|1 + 5x2y3|.

A) (11/21)

B) (21/11)

C) (20/21)

D) (21/20)

11) f(x, y) = 4x - 4y2 - 7. Find fx(x, y).

A) 4

B) 4x

C) -8y

D) -3

12) Let z = f(x,y) = 4x2 - 14xy + 7y3. Find (∂z/∂x).

A) 8x2 - 14x

B) 8x - 14y

C) 8x - 14y + 21y2

D) -14x + 21y2

13) f(x,y) = 5x + 5x2y2 - 3y2. Find fx(x, y).

A) 10xy2 - 6y

B) 5 + 10xy2

C) 5 + 10x2y

D) 10x2y - 6y

14) Let z = g(x,y) = 2x + 3x2y2 - 9y2. Find (∂z/∂y).

A) 2 + 6yx2

B) 6yx - 18y

C) 6yx2 - 18y

D) 6yx - 6y

15) Let z = f(x, y) = x3 + 2x2y - 3xy3. Find (∂z/∂x).

A) 2x2 - 3xy2

B) 3x2 + 4xy - 3y3

C) 3x2 + 4x - 3

D) 3x2 + 4xy - 9xy2

16) f(x, y) = x3 - 3x2y + 10xy3. Find fy(x, y).

A) -3x2 + 30xy2

B) -3x2 + 10xy2

C) x3 - 6xy + 30xy2

D) -3x2y + 30y2

17) Let z = f(x, y) = (x + y)3. Find (∂z/∂x).

A) 3y(x + y)2

B) 3(x + y)2

C) 3x(x + y)2

D) 3(x + y)

18) Let z = f(x, y) = 4(x + 7y - 2)2. Find (∂z/∂y).

A) 28x + 196y - 56

B) 56x + 392y - 112

C) 28x + 196y

D) 56x + 392y + 112

19) f(x, y) = 7(x + 2y - 7)2. Find fx(x, y).

A) 7x + 14y - 49

B) 14x + 28y

C) 14x + 28y + 98

D) 14x + 28y - 98

Find fx(x, y).

20) f(x, y) = ex-y

A) fx(x, y) = -yex-y

B) fx(x, y) = ex-y

C) fx(x, y) = -ex-y

D) fx(x, y) = xex-y

21) f(x, y) = e-2x + 3y

A) fx(x, y) = e-2x + 3

B) fx(x, y) = -2e-2x

C) fx(x, y) = -2e-2x + 3y

D) fx(x, y) = 3e-2x + 3y

22) f(x, y) = e-2xy

A) fx(x, y) = -2ye-2x

B) fx(x, y) = -2(x + y)e-2xy

C) fx(x, y) = -2ye-2xy

D) fx(x, y) = -2e-2xy

23) f(x, y) = xln(5x + 6y)

A) fx(x, y) = ln(5x + 6y)

B) fx(x, y) = (5x/5x + 6y)

C) fx(x, y) = ln(5x + 6y) + (5/5x + 6y)

D) fx(x, y) = (5x/5x + 6y) +ln(5x + 6y)

24) f(x, y) = yln(7x + 4y)

A) fx(x, y) = ln(7x + 4y) + (7/7x + 4y)

B) fx(x, y) = (7y/7x + 4y)

C) fx(x, y) = yln(7x + 4y)

D) fx(x, y) = (7xy/7x + 4y)

25) f(x, y) = (x + y)ln(xy)

A) fx(x, y) = xln(xy) + ((x + y)/x)

B) fx(x, y) = yln(xy) + ((x + y)/x)

C) fx(x, y) = ln(xy) + ((x + y)/xy)

D) fx(x, y) = ln(xy) + ((x + y)/x)

26) f(x, y) = (3x/y) - (y/3x)

A) fx(x, y) = (3/y) + (y/3x2)

B) fx(x, y) = - (3/y2) - (3/y)

C) fx(x, y) = (3x2/y) + (y/3x2)

D) fx(x, y) = (3/y) - (y/3x2)

27) f(x, y) = yln((1/x))

A) fx(x, y) = (y/x2)

B) fx(x, y) = - (1/x)

C) fx(x, y) = - (y/x2)

D) fx(x, y) = - (y/x)

28) f(x, y) = (x2 + y2/xy)

A) fx(x, y) = (x2 - y2/xy)

B) fx(x, y) = (yx2 - y3/x2y2)

C) fx(x, y) = (x2 - y2/x2)

D) fx(x, y) = (2x2 + 2y2 - x2y2/xy)

29) f(x, y) = (x/x + y)

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

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

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

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

Solution
5 (1 Ratings )

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