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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) =
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2. (30 pts.)
Very basic antiderivatives .
... Give each of the
following antiderivatives.
Do not forget the arbitrary constant.
(a)
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This note was uploaded on 12/26/2011 for the course MAC 2311 taught by Professor Staff during the Fall '08 term at FIU.
 Fall '08
 STAFF
 Calculus

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