MTH 1001 Lecture 10: Rolle's Theorem And Mean Value Theorem
DATE
Ch
3.2
h
Rolles
Theolem
A
Mean
Value
lheolen
h
Extreme
Value
lheortn:
A
catinuus
tncion
On
a co
tes
nterva
Ca,bI
wmst
have
both
mininmn
and
Mwimum
on
the
intesvol
Both
of
tho
valnes
Can
ocr
at
the
end
points
Role
s
Theotn;
Gie
Conditrons
tht
e
Aoslute
extreme
vlue
ls
in
the
"interior
ot
a closed
in
terva
Men
Valae
Theorem
If
the
sccant
line
leo
rd)
i
0,
then
it
rs
the
Tan
qont
line
of
O
A-Pa)
=
o-
E
Find
the
t ntrcet
of
Show
tt
f)=0
*
$ome
pint
btveen
thu
tuo
ifrest
1)
ind
footfs
so
4,
*2
2 ftE0, f)=0,
so
aordin
to
Rolles
1hetenn,
teure
Must
bo
aGiftel
Valoe
btron
te
u
pdnt,
Office
DERO
