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Test 2
You scored 30 out of 50
Question 1
Your answer is CORRECT.
Use differentials to approximate
f
(3.8) given that
f
(4) = 3 and
f '
(
x
) =
a)
b)
c)
d)
e)
Question 2
Your answer is CORRECT.
Determine if the given function satisfies the Mean Value Theorem on [0,5]. If so, find all
numbers c on the interval that satisfy the theorem.
a)
c
=
b)
c
=
c)
c
=
d)
c
=
e)
The Mean Value Theorem does not apply to this function on the given interval.
Question 3
Your answer is INCORRECT.
Determine the critical number(s) at which
f
(
x
) has a local maximum.
a)
x
= 3
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View Full Documentb)
x
= 6
c)
x
= 3,
x
= 6
d)
x
= 6
e)
x
= 3
Question 4
Your answer is INCORRECT.
Determine the interval(s) on which
f
(
x
) is concave down.
a)
(5, 2)
b)
(
, 5)
(2,
)
c)
(
, 2)
d)
(5,
)
e)
(
, 2)
(5,
)
Question 5
Your answer is CORRECT.
Given the graph of
f
'
(
x
) (the derivative of
f
) below, where is
f
(
x
) increasing?
a)
f
(
x
) is increasing on the interval (
, 8).
b)
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 Spring '08
 Any
 Math, Calculus, Critical Point, Derivative, Convex function, Concave function

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