In Exercises 7 − 12 , sketch the graph of a function that has the properties described. ( − 2 , − 1 ) and ( 2 , 5 ) are on the graph; f ' ( − 2 ) = 0 and f ' ( 2 ) = 0 ; f ' ' ( x ) > 0 for x < 0 , f ' ' ( 0 ) = 0 , f ' ' ( x ) < 0 for x > 0 .
In Exercises 7 − 12 , sketch the graph of a function that has the properties described. ( − 2 , − 1 ) and ( 2 , 5 ) are on the graph; f ' ( − 2 ) = 0 and f ' ( 2 ) = 0 ; f ' ' ( x ) > 0 for x < 0 , f ' ' ( 0 ) = 0 , f ' ' ( x ) < 0 for x > 0 .
Solution Summary: The author explains how to sketch the graph of the function f(x) using the given properties.
In Exercises
7
−
12
, sketch the graph of a function that has the properties described.
(
−
2
,
−
1
)
and
(
2
,
5
)
are on the graph;
f
'
(
−
2
)
=
0
and
f
'
(
2
)
=
0
;
f
'
'
(
x
)
>
0
for
x
<
0
,
f
'
'
(
0
)
=
0
,
f
'
'
(
x
)
<
0
for
x
>
0
.
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
use Integration by Parts to derive 12.6.1
Chapter 2 Solutions
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