claculas 1

MAT1214 Chapter 3 Sections 8&9 Takehome Name___________________________________

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

Find the value of df-1/dx at x = f(a). 1) f(x) = x2 - 3x + 5; a = 5 1)

A) 7 B) 1 13

C) 1 7

D) 1 10

Find the derivative of y with respect to x, t, or , as appropriate. 2) y = ln(ln 7x) 2)

A) 1 ln 7x

B) 1 x

C) 1 x ln 7x

D) 1 7x

Use logarithmic differentiation to find the derivative of y. 3) y = cos x 3x + 8 3)

A) cos x 3x + 8 1 sinx · cosx

+ 3

3x + 8 B) cos x 3x + 8 -tan x + 3

2(3x + 8)

C) -6-tan x - 13-tan x 3x + 16

D) cos x 3x + 8 lncos x + 1 2

ln(3x + 8)

Find the derivative of y with respect to x, t, or , as appropriate. 4) y = 5xex - 5ex 4)

A) 5xex + 10ex B) 5x C) 5ex D) 5xex

5) y = ln e

9 + e 5)

A) 9 + 2e

9 + e B) 9 + e

e C) 9

9 + e D) ln 9

9 + e

Find the angle. 6) sec-1 - 2 6)

A) 5 4

B) 4

C) 4

D) 4

± 2 n, 5 4

± 2 n

7) cot-1 (-1) 7)

A) 3 4

B) - 3 4

C) 4

D) - 4

1

Evaluate exactly.

8) sec cos-1 2 2

8)

A) -1 B) - 2 C) - 2 2

D) 2

Find the derivative of y with respect to x.

9) y = tan-1 8x 5

9)

A) 40 64x2 + 25

B) 8

25 - 64x2 C) 25

64x2 + 25 D) -40

64x2 + 25

10) y = sin-1 (e6t) 10)

A) e 6t

1 - e12t B) 6 e

6t

1 - e36t C) 6 e

6t

1 - e12t D) -6 e

6t

1 - e12t

2