Exercises
UF Calculus Set 12
1. Use the graph of
f
(
x
)
below to estimate, to the nearest multiple of 0.5, the values of
f
0
(
x
)
at
the points
x
=

5
,

2
,
0
,
1
,
4
,
7
.
2. Inspect the graphs below. The first represents the milliliters of a drug in the bloodstream after
ingesting medicine as a function of the time elapsed in minutes; the second represents the
profit in thousands of dollars a company receives as a function of the selling price in cents.
(a) Make a rough sketch of the derivative in each case.
(b) State in words what
f
0
(10) = 5
would represent in each case, including units.
3. Find the derivative of the given function; state the domain of
f
and its derivative.
(a)
f
(
x
) = 2

5
x
(b)
f
(
y
) = 3
y

1
+ 4
y
(c)
f
(
x
) =
1
3

2
x
(d)
f
(
x
) = (1 +
√
x
)
2
(e)
f
(
x
) =
1
√
2
x

3
(f)
f
(
x
) =
x
√
x

3
4. Find the second derivative of the function
(a)
y
=
1
x
(b)
y
=
t
3

4
t
2
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
5. In the curve
y
=
f
(
x
)
illustrated below, identify the points
x
=
c
where each of the following
happens:
(a)
f
is discontinuous at
x
=
c
.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 ALL
 Calculus, Geometry, Derivative, Continuous function, following continuous functions, time t. t2

Click to edit the document details