Prsctice
Problems
for
Exrm #l
Make
a careful
skctch
of a smooth
cune
having
alt the
propcrtics
steted
l) f(lFl,
f
'(l):0,
f
'(x)
>0
for
x
<1,
f
'(x)
<0
for
x
>l
2) fp)1,f
'(2H,
f
'(x)
<0
forx
{2,
f
'(x)>0
forx
>2
3) f(l)=I,.f
'(l)=0,
f
'(x)
>0
for x *
I
4)
f(l)=1,
f
'(l)=0,
f
'(x)
<0
for
x * I
5)
(0)=0,f'(x)>0for0<x<1,f'(x)=0forx>l,f'(x)<0for-1<xi0,f,(x)=0forx<-l
6)
(0)=1,
f(2).{4):0,
f
'(0)
=
f
'(3F0,
f
,(x)
>0
for
x<0
&>p3,f
,(x)
<0
for
0
<
x
<
3
