Calculus Semester 1 Review Flashcards

1

Given the graph of f'(x), the derivative of f(x), below, where does f(x) have positive acceleration?

(-1, 0) ∪ (1, 2)
(-2, 0)
everywhere
nowhere

2

Find f⁽⁶⁾(x).

1920
3840
120
0

3

Evaluate:

-5/8
DNE
1
5/8

4

Find f'(x).

sin x
csc x
-cos x
-sin x

5

Find f'(x).

2 cos x
-sin 2x
-2 cos x sin x
2 sin x

6

Given the graph of f'(x), the derivative of f(x), below, where does f(x) have a relative min.?

x = 4/3
x = -1 and x = 1
x = 0
x = -4/3

7

Which statement about f(x) is true when x = -1?

f is both continuous and differentiable.
f is neither continuous nor differentiable.
f is continuous but not differentiable
f is differentiable but not continuous

8

The velocity of a particle at time t, 0<t<6 is given by v(t). When does it change direction?

t = 4
t = 3
t = 3π
t = π/3

9

Find f'(x).

cos2 x + sin2 x
cos 2x
-sin x cos x
cos2 x - sin2 x

10

Evaluate:

4
3
-3
0

11

Given f(x), find f'(π).

-2π - 4
-2π + 4
-1
0

12

Find ^dy/_dx at the point (6, 6).

0
3/2
undefined
24

13

Describe the graph of the function below:

Top half of a circle with center (1, 0) and radius 3.
Top half of a circle with center (0, 1) and radius 3.
Top half of a circle with center (1, 0) and radius 9.
Top half of a circle with center (0, 1) and radius 9.

14

Find all vertical asymptotes of the function below.

x = -5 only
x = -1 only
x = 2 only
x = 2 and x = -5

15

Find f'(x).

2 cos x
2x sin x2
-sin x2
-2x sin x2

Calculus Semester 1 Review

Questions 15

Calculus Semester 1 Review

Questions 15