NAME:
MAC2311/Final Exam
Page 1 of 8
Student Number:
Exam Number:
Read Me First:
Show all essential work very neatly.
Use
correct notation when presenting your computations and arguments.
Write using complete sentences.
Be careful.
Remember this: "="
denotes "equals" ,
"
⇒
" denotes "implies" , and "
⇔
" denotes "is
equivalent to".
Do not "box" your answers.
Communicate.
Show
me all the magic on the page.
1. (30 pts.)
Very basic derivatives .
...
Provide the first
derivative for each of the following functions.
(a)
f(x) =
x
23
f
′
(x) =
(b)
f(x) =
23
x
f
′
(x) =
(c)
f(x) =
ln(x)
f
′
(x) =
(d)
f(x) =
e
x
f
′
(x) =
(e)
f(x) =
sin(x)
f
′
(x) =
(f)
f(x) =
cos(x)
f
′
(x) =
(g)
f(x) =
tan(x)
f
′
(x) =
(h)
f(x) =
sec(x)
f
′
(x) =
(i)
f(x) =
csc(x)
f
′
(x) =
(j)
f(x) =
cot(x)
f
′
(x) =
(k)
f(x) =
sin
1
(x)
f
′
(x) =
(l)
f(x) =
tan
1
(x)
f
′
(x) =
(m)
f(x) =
sec
1
(x)
f
′
(x) =
(n)
f(x) =
cos
1
(0)
f
′
(x) =
(o)
f(x) =
log
23
(x)
f
′
(x) =
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentMAC2311/Final Exam
Page 2 of 8
2. (30 pts.)
Very basic antiderivatives .
... Give each of the
following antiderivatives.
Do not forget the arbitrary constant.
(a)
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 STAFF
 Calculus, lim, pts, MAC2311/Final Exam

Click to edit the document details