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AP Calculus AB Mixed Review quiz 1

Total questions: 20

Worksheet time: 50mins

Name
Class
Date
1.

Find the limit as x approaches 1+

a)

1

b)

-1

c)

-3

d)

Infinity

e)

DNE

2.

Find the value for that makes f(x) continuous.

a)

0

b)

1

c)

1.5

d)

2

e)

No such value exists

3.
What is the limit?
a)
DNE
b)
2/3
c)
1/4
d)
Infinity
4.
If a function has a derivative that is negative, what does that tell you?
a)
The function is increasing
b)
The function is decreasing
c)
The concavity of the function is up
d)
The concavity of the function is down
5.
The acceleration function is the first derivative of...
a)
position
b)
velocity
c)
calculus
d)
particle motion
6.
a)
Mean value theorem
b)
Instantaneous Rate of Change
c)
Intermediate Value Theorem
d)
Fundamental Theorem of Calculus
7.

Let f be the function defined by f(x)=4x3-10x+5. Find the equation of the tangent line to the graph of f at the point where x = 1

a)

y+1=2(x-1)

b)

y-1=2(x-1)

c)

y+1=2(x+1)

d)

y+1=-2(x-1)

8.

If g is the inverse function of F and f(2)=3, find the value of g'(3) for F(x)=6x2+2x-1

a)

1/24

b)

1/25

c)

1/26

d)

26

9.

what is the average rate of change of the function f(x)=x2-6x+6 from 2 to 6?

a)

4

b)

2

c)

3

d)

23/4

10.

A particle moves along the x-axis with velocity at time x>0 and the function is v(x)=x2+6x+3, is the speed of the particle increasing at x=4?

a)

No because both velocity and acceleration at x=4 is positive

b)

Yes because both velocity and acceleration at x=4 is positive

c)

No because both velocity and acceleration at x=4 is negative

d)

Yes because both velocity and acceleration at x=5 is positive

11.

What is the derivative of the function   f(x)=12x  6ex dxf\left(x\right)=\int_1^{2x}\ \ 6e^x\ dx  

a)

6e2x

b)

12e2x

c)

6e2x-6ex

d)

6e2x

12.
a)
Average Rate of Change
b)
Average Value of f
c)
Intermediate Value Theorem
d)
Rolle's Theorem
13.
a)
f(a) - f(b)
b)
f(b) - f(a)
c)
f '(b) - f '(a)
d)
f '(a) - f '(b)
14.
a)
position 
b)
velocity
c)
acceleration
d)
total distance
15.
a)
A
b)
B
c)
C
d)
D
16.
a)

A

b)

B

c)

C

d)

D

e)

E

17.
a)
sinx
b)
-sinx
c)
-cscx cotx
d)
sec2x
18.

The image displays the ______

a)

Limit definition of the first derivative

b)

The bane of my existance

19.

Which of the following does not apply to being a critical value if f is to be defined at x=c?

a)

f '(c)=0

b)

f'(c)=x

c)

f'(c)=1

d)

f'(c) does not exist

20.
What is the limit?
a)
Infinity
b)
20
c)
DNE
d)
12