1225FormA

1. Which of the following derivatives is correct ?

d dx d dx d dx d dx

arctan( x ) = 2 x = 2 x log 2 ( x ) =

1 √ 1 − x 2

(A)

(B)

1 x ln(2)

(C)

sin 2 ( x ) = 2 cos( x )

(D)

2. The graph of y = v ( t ), the velocity of a particle at time t , is given below.

y

2 4 6 8 10

y = v ( t )

x

1

2

3

4

5

6

7

− 8 − 6 − 4 − 2

On which of the following intervals is the particle slowing down throughout the entire interval?

(A) (1 , 2) (B) (2 , 3) (C) (3 , 4) (D) (5 , 6)

Page 2 of 7 — Form A