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Find f'(x) at the given value of x. 7) f(x) = 10x^2 + 6x; Find f'(8).

Question : Find f'(x) at the given value of x. 7) f(x) = 10x^2 + 6x; Find f'(8). : 2151574

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

Estimate the slope of the tangent line to the curve at the given point.

1)

A) 2

B) (1/2)

C) 1

D) -1

2)

A) - (1/2)

B) (1/4)

C) -4

D) - (1/4)

3)

A) - (3/2)

B) - (1/2)

C) -1

D) 1

4)

A) (3/2)

B) (1/2)

C) 3

D) (2/3)

5)

A) -4

B) - (1/2)

C) - (1/4)

D) (1/4)

6)

A) 1

B) undefined

C) 3

D) 0

Find f'(x) at the given value of x.

7) f(x) = 10x2 + 6x; Find f'(8).

A) 166

B) 187

C) -192

D) 208

8) f(x) = (-11/x); Find f'(-4).

A) (16/11)

B) (4/11)

C) (11/4)

D) (11/16)

9) f(x) = √(x) ; Find f'(100).

A) (1/20)

B) 100

C) 10

D) (1/10)

10) f(x) = (-3/x + 4); Find f'(-2).

A) (1/4)

B) - (3/4)

C) - (1/4)

D) (3/4)

11) f(x) = √(x + 5); Find f'(11).

A) (√(3)/8)

B) (1/8)

C) (5√(3)/8)

D) (5/8)

12) f(x) = (64/x); Find f'(2).

A) -32

B) 64

C) 32

D) - 16

13) f(x) = x2 - 7x + 3; Find f'(-2).

A) -8

B) 21

C) -11

D) -4

14) f(x) = x3 + 2; Find f'(2).

A) -12

B) 14

C) 13

D) 12

15) f(x) = -7x2 + 5x + 6; Find f'(7).

A) 103

B) -87

C) -93

D) -63

16) f(x) = 9√(x); Find f'(2).

A) Does not exist

B) (9/2√(2))

C) 36

D) (9√(2)/2)

Find the equation of the secant line through the points where x has the given values.

17) f(x) = x2 + 4x; x = 5, x = 2

A) y = 11x + 10

B) y = 10x - 11

C) y = 11x

D) y = 11x - 10

18) f(x) = 4 - x2; x = -4, x = 0

A) y = - 4x - 4

B) y = 4

C) y = 4x + 4

D) y = 4x - 4

19) f(x) = (4/x); x = 4, x = 2

A) y = - (4/x2)

B) y = - (1/2)x

C) y = - (1/2)x + 3

D) y = (1/2)x - 3

20) f(x) = 5√(x); x = 16, x = 49

A) y = (5/11)x + (140/11)

B) y = - (5/11)x+ (140/11)

C) y = (5/2√(x))

D) y = (5/11)x - (140/11)

Find the equation of the tangent line to the curve when x has the given value.

21) f(x) = 3 - x2; x = 4

A) y = 4x + 19

B) y = -2x

C) y = -8x + 19

D) y = 8x - 19

22) f(x) = (4/x + 1); x = 4

A) y = - (8/25)x + (36/25)

B) y = (4/25)x + (4/25)

C) y = - (4/25)x + (36/25)

D) y = - (4/25)x + (4/25)

23) f(x) = (x2/4) ; x = -3

A) y = -6x - 2.25

B) y = -1.5x - 4.5

C) y = -1.5x + 2.25

D) y = -1.5x - 2.25

24) f(x) = (x3/2) ; x = 5

A) y = 125x + (75/2)

B) y = (25/2)x - 125

C) y = (25/2)x + 125

D) y = (75/2)x - 125

25) f(x) = (x3/4) ; x = -6

A) y = 108x + 27

B) y = 27x + 108

C) y = 9x + 108

D) y = 108x + 9

26) f(x) = (64/x) ; x = 4

A) y = - 4x + 16

B) y = - 4x + 32

C) y = - 4x

D) y = - 8x + 48

27) f(x) = (18/x) ; x = 3

A) y = - 2x + 12

B) y = - 2x

C) y = - 4x + 18

D) y = - 2x + 6

28) f(x) = x2 - 4 ; x = 3

A) y = 3x - 13

B) y = 6x - 13

C) y = 6x - 22

D) y = 6x - 26

29) f(x) = x2 + 2 ; x = 4

A) y = 4x - 14

B) y = 8x - 28

C) y = 8x - 14

D) y = 8x - 30

30) f(x) = x2 - x ; x = -4

A) y = -9x + 12

B) y = -9x - 16

C) y = -9x + 16

D) y = -9x - 12

Solution
5 (1 Ratings )

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