Name: 
 

Sample Quiz 02-01-Derivative By Definition



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Given the following:

mc001-1.jpg 
mc001-2.jpg
mc001-3.jpg 
mc001-4.jpg

Based on the values above what would be the best approximation for f ‘(2)?
a.
mc001-5.jpg
d.
mc001-8.jpg
b.
mc001-6.jpg
e.
mc001-9.jpg
c.
mc001-7.jpg
f.
mc001-10.jpg
 

 2. 

Given mc002-1.jpg.  Determine and simplify the difference quotient:

mc002-2.jpg
a.
mc002-3.jpg
d.
mc002-6.jpg
b.
mc002-4.jpg
e.
mc002-7.jpg
c.
mc002-5.jpg
 

 3. 

If  f(x) is the function shown in the graph.


Determine  f (3)
mc003-1.jpg
a.
mc003-2.jpg
d.
mc003-4.jpg
b.
mc003-3.jpg
e.
0
c.
2
f.
Does Not Exist
 

 4. 

Determine the following limit.

mc004-1.jpg
a.
0
d.
5
b.
2
e.
7
c.
3
f.
Undefined
 

 5. 

Consider mc005-1.jpg where a and b are constants, then which of the below best represents the value of   mc005-2.jpg.
a.
mc005-3.jpg
d.
mc005-6.jpg
b.
mc005-4.jpg
e.
mc005-7.jpg
c.
mc005-5.jpg
f.
Not enough information to be determined.
 

 6. 

If mc006-1.jpg and  mc006-2.jpg,  then find the equation of the line tangent to mc006-3.jpg at  mc006-4.jpg.
a.
mc006-5.jpg
d.
mc006-8.jpg
b.
mc006-6.jpg
e.
mc006-9.jpg
c.
mc006-7.jpg
f.
mc006-10.jpg
 

 7. 

First, determine the derivative of mc007-1.jpg at x = 1 by definition. Then,  find the equation of the line orthogonal to mc007-2.jpg at x = 1.
a.
mc007-3.jpg
d.
mc007-6.jpg
b.
mc007-4.jpg
e.
mc007-7.jpg
c.
mc007-5.jpg
f.
mc007-8.jpg
 

 8. 

The graph of the function f(x) is shown at the right.




Which graph below would best represent the graph of f (x)?
mc008-1.jpg
a.
mc008-2.jpg
c.
mc008-4.jpg
b.
mc008-3.jpg
d.
mc008-5.jpg
 



 
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