Carbo's AP Calculus Test Review 1 Flashcards

1

y = |x| y'(0) =

0
1
does not exist
-1

2

d/dt e²πt =

e2πt
0
e2π
2e2πt

3

d/dx ln (√x) =

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

4

d/dx csc(x²) =

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

5

d/dx sec x =

secxtanx
tan2x
sexytan
sec2x

6

If a function is continuous, must it be differentiable?

no
BUST IT!
?
yes

7

f(x) = |x| f"(4) =

4
x
0
1

8

If a function is differentiable, must it be continuos?

yes
no
sometimes
only if there is no cusp

9

∫e^4xdx =

¼e4x
¼e4x + c
4e4x + c
e4x + c

10

∫cot(2x)dx =

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

11

y = e^cosx y'=

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

12

d/dx tan(2x) =

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

13

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

sin x
- sin x
cos x
- cos x

14

When is a continuous function not differentiable?

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

15

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

0
-88.8
-1
1

16

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

-1
1
0
undefined

17

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 increasing
backward, speed decreasing

18

∫tanxdx =

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

19

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

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

20

∫sec x dx =

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

Carbo's AP Calculus Test Review 1

Questions 20

Carbo's AP Calculus Test Review 1

Questions 20