AP Calculus Test Review 1 Flashcards

1

If a function is continuous, must it be differentiable?

no
yes

2

f(x) = sin x f ''(x)=

cos x
sin x
- cos x
- sin x

3

d/dx csc(x²) =

-2xcsc(x)cot(x)
-csc(x2)cot(x2)
-2xcsc(x2)cot(x2)
2xcsc(x2)cot(x2)

4

If v(2) = -6 and a(2) = -2, how is the particle moving at time t = 2?

backward, speed increasing
backward, speed decreasing
forward, speed increasing
forward, speed decreasing

5

f(x) = |x| f'(4) =

4
x
1
0

6

d/dt e²πt =

2e2πt
e2πt
e2π
0

7

f(x) = |x| f'(-88.8) =

1
-1
0
-88.8

8

d/dx tan(2x) =

sec(2x)tan(2x)
2sec2(x)
sec2(2x)
2sec2(2x)

9

d/dx ln (√x) =

1/(2x)
1/(x2)
1/x
2/x

10

y = e^cosx y'=

(-sinx)ecosx
(sinx)esinx
e-sinx
(sinx)ecosx

11

If v(4) = 5 and a(4) = -2, how is the particle moving at time t = 4?

forward, speed increasing
forward, speed decreasing
backward, speed increasing
backward, speed decreasing

12

∫e^4xdx =

e4x + c
¼e4x + c
¼e4x
4e4x + c

13

d/dx sec x =

secxtanx
sec2x
tan2x
sexytan

14

If a function is differentiable, must it be continuos?

no
yes
sometimes
only if there is no cusp

15

y = |x| y'(0) =

does not exist
0
-1
1

16

f(x) = |x| f ''(5) =

0
-1
undefined
1

AP Calculus Test Review 1

Questions 16

AP Calculus Test Review 1

Questions 16