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Funktionsanalyse ( 6 )
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Expression 11: 2 "a" "x" plus "b"
2
a
x
+
b
11
Vi finder nu den x-værdi, for
Vi finder nu den x-værdi, for
12
hvilken det gælder, at f ' ( x )
hvilken det gælder, at f ' ( x )
13
= 0, og i hvilken f ( x ) m.a.o.
= 0, og i hvilken f ( x ) m.a.o.
14
har vandret tangent:
har vandret tangent:
15
Expression 16: 2 "a" "x" plus "b" equals 0
2
a
x
+
b
=
0
16
Toppunktets førstekoordinat:
Toppunktets førstekoordinat:
17
Expression 18: "s" equals negative StartFraction, "b" Over 2 "a" , EndFraction equals 2.5
s
=
−
b
2
a
equals
=
2.5
2
.
5
18
Toppunktets andenkoordinat:
Toppunktets andenkoordinat:
19
Expression 20: "t" equals "f" left parenthesis, negative StartFraction, "b" Over 2 "a" , EndFraction , right parenthesis equals 1.7 5
t
=
f
−
b
2
a
equals
=
1.7 5
1
.
7
5
20
Punkter og tangenter m.m.
Punkter og tangenter m.m.
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21
29
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left parenthesis, 2.5 , 1.7 5 , right parenthesis
2
.
5
,
1
.
7
5
Start black, "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis less than 0 End black
f
′
x
0
<
0
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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