AP Calculus 3.3 Review Flashcards

1

Find the derivative:

csc t tan t
sec t cot t
sec t tan t
cos t

2

Find the derivative:

-sec2 x
-csc2 x
sec x tan x
sec2 x

3

What is the value?

0
-1
undefined
1

4

Find the derivative: y = e^t sin t

y'= et (cos t + sin t)
y' = t et cos t
y' = et (sin t - cos t)
y' = et cos t

5

Find the derivative:

sec2 x
- csc2 x
csc2 x
- csc x cot x

6

What are the horizontal asymptotes?

y = 0
y = 1/2
y = -1/2
y = 1/2 and -1/2

7

Find the derivative: y = x³ -3x² +2x - 7

y'=x2-6x+2
y'=3x2-6x+7
y'=3x2-6x+7
y'=3x2-6x+2

8

Find the derivative:

sec t cot t
-csc t tan t
csc t cot t
-csc t cot t

9

What is the vertical asymptotes?

x = -1
x = 0
x = +1 and -1
x = +1

10

What is the value?

1/2
0
(sqt rt 2) /2
1

11

What is the value?

(sq rt 2) /2
-1
0
1

12

What is the value?

-1/2
0
(sqt rt 3) /2
1/2

13

What is the slope of the line normal to f(x) = 4 cos x at x = pi/6 ?

-2
2
1/2
-2(sq rt 3)

14

What is the value?

1
(sq rt 3)/2
1/2
(sq rt 2) /2

15

What is the value?

1
(sq rt 3) /3
2
(sq rt 3)

16

What does normal line mean?

IDK
perpendicular Line
tangent line
parallel line

17

Find the derivative:

tan y
- cos y
cos y
csc2 y

18

What is the value?

1
sq rt 3/2
1/2
sq rt 2/2

19

Find the derivative:

sin x
sec x
csc x
-sinx

20

What is the value?

sq rt 3 /2
sq rt 2 /2
-1/2
1/2

AP Calculus 3.3 Review

Questions 20

AP Calculus 3.3 Review

Questions 20