AP Calculus Test Review 1 Flashcards

1

y = |x| y'(0) =

0
1
-1
does not exist

2

y = e^cosx y'=

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

3

d/dx csc(x²) =

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

4

When is a continuous function not differentiable?

At an asymptote
At a cusp
At a hole
At a cusp or asymptote

5

d/dx tan(2x) =

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

6

d/dx sec x =

tan2x
sexytan
secxtanx
sec2x

7

∫tanxdx =

sec2x+c
-ln|sinx| + c
-ln|cosx| + c
ln|cosx| + c

8

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

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

9

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

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

10

d/dt e²πt =

e2π
e2πt
0
2e2πt

11

If a function is continuous, must it be differentiable?

no
yes
?
BUST IT!

12

∫cot(2x)dx =

2ln|sin(2x)| + c
½ln|cos(2x)| + c
-ln|sin(2x)| + c
½ln|sin(2x)| + c

13

∫e^4xdx =

4e4x + c
e4x + c
¼e4x
¼e4x + c

14

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

-1
1
0
undefined

15

∫sec x dx =

-ln |secx + tanx| + c
secxtanx + c
ln |secx + tanx| + c
ln |secxtanx| + c

16

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

- cos x
sin x
cos x
- sin x

17

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

x
4
0
1

18

If a function is differentiable, must it be continuos?

sometimes
only if there is no cusp
no
yes

19

d/dx ln (√x) =

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

20

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

0
-1
-88.8
1

AP Calculus Test Review 1

Questions 20

AP Calculus Test Review 1

Questions 20