Duplicate of AP Calculus Test Review 1 Flashcards

1

What is the limit as x approaches infinity for this function: ²/_x

0
Does Not Exist
1
2

2

∫tanxdx =

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

3

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

-1
0
undefined
1

4

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

1
4
0
x

5

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

1
0
-88.8
-1

6

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

sin x
- cos x
cos x
- sin x

7

If a function is continuous, must it be differentiable?

?
no
yes
BUST IT!

8

d/dx tan(2x) =

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

9

d/dx sec x =

secxtanx
sexytan
tan2x
sec2x

10

d/dt e²πt =

e2π
e2πt
2e2πt
0

11

∫e^4xdx =

¼e4x
¼e4x + c
e4x + c
4e4x + c

12

When is a continuous function not differentiable?

At a cusp
At a corner
At an asymptote
All of the above

13

d/dx ln (√x) =

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

14

y = |x| y'(0) =

1
does not exist
-1
0

15

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

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

16

If a function is differentiable, must it be continuos?

no
only if there is no cusp
sometimes
yes

17

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

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

18

y = e^cosx y'=

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

19

d/dx csc(x²) =

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

Duplicate of AP Calculus Test Review 1

Questions 19

Duplicate of AP Calculus Test Review 1

Questions 19