Number 
Question 
Answer 
See the work 
1.

Use the definition of the derivative to find the derivative of the function ƒ(x)= 6x+3sqrt(x) Then state the domain of the function and the domain of the derivative. ƒ'(x)=______
Domain of ƒ(x)=_____
Domain of ƒ'(x)=_____

ƒ'(x)=6+(3/2)x^(1/2)
Domain of ƒ(x)=[0,∞)
Domain of ƒ'(x)=(0, ∞)

The work
Point Cost: 3 
2.

Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and its derivatives: ___is the graph of the function ___is the graph of the function’s first derivative ___is the graph of the function’s second derivative

A
C
B

The work
Point Cost: NA 
3.

Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and its derivatives: ___is the graph of the function ___is the graph of the function’s first derivative ___is the graph of the function’s second derivative

C
A
B

The work
Point Cost: NA 
4.

Let ƒ(x)=8/x. Then the expression can be written in the form where A is a constant and A=____ Using your answer from above we have: Finally, find each of the following ƒ'(1)=____ ƒ'(2)=____ ƒ'(3)=____

A= 8 lim= 8/(x^2) ƒ'(1)= 8
ƒ'(2)= 2 ƒ'(3)= 8/9 
The work
Point Cost: 3 
5.

Let Evaluate the following limits.
Thus the function ƒ(x) is not differentiable at 2.

1
1

The work
Point Cost: 3 
6.

Let
(A) Sketch the graph of f , and when you’re done, place a ”1” in the box: (B) Find the value of x where f is discontinuous. If there is no value, enter ’NONE’. xvalues=_______ (C) Find the value of x where f is nondifferentiable. If there is no value, enter ’NONE’. xvalues =_____

(A) 1
(B) NONE,
(C) 2

The work
Point Cost: NA 
7.

Let
(A) Sketch the graph of f , and when you’re done, place a ”1” in the box: (B) Find the value of x where f is discontinuous. If there is no value, enter ’NONE’. xvalues=_______ (C) Find the value of x where f is nondifferentiable. If there is no value, enter ’NONE’. xvalues =_____

(A) 1
(B) NONE
(C) NONE

The work
Point Cost: NA 
8.

Enter a T or an F in each answer space below to indicate whether the corresponding statement is true or false. A statement is true only if it is true for all possibilities. You must get all of the answers correct to receive credit.

1. F
2. F
3. F
4. F
5. T

The work
Point Cost: NA 