This preview shows pages 1–2. Sign up to view the full content.
Sample Test
This test will cover 4.45.6, excepting 4.6 (Related Rates, which we skipped)
This is probably longer
than the actual test will be.
Part I
1.
Find y' for
y
=
e
x
2
2.
Find
dy
dx
for
x
2
y
2
=
25
3.
f
x
=
ln
3x
−
1
Find
f
'(
x
)
4.
x
2
y
2
e
xy
=
20
Find
y
'
5.
The graph of the equation
9
x
2
4
y
2
=
36
is an ellipse.
Find the points (
x
and
y
coordinates)
where this ellipse has horizontal and vertical tangent lines.
(There will be two of each.)
Part II
For the following problems, determine where the function is increasing, where it is decreasing, where it
is concave up, and where it is concave down.
(Express answers in interval form.)
Find any local
maxima or minima, and any points of inflection.
6.
f
x
=
x
4
x
−
5
3
(Note: finding concavity/points of inflection may require use of the quadratic
formula.
You may either give the exact solution, with radicals, or an approximate solution, rounded to
two decimal places.)
7.
f
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 02/28/2012 for the course MATH 160 taught by Professor Staff during the Spring '08 term at Boise State.
 Spring '08
 STAFF

Click to edit the document details