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Funktionsanalyse ( 2 )
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Expression 16: StartFraction, "x" to the 0 power Over 2 StartRoot, "x" , EndRoot , EndFraction minus 4
x
0
2
x
−
4
16
Expression 17: StartFraction, 1 Over 2 StartRoot, "x" , EndRoot , EndFraction minus 4
1
2
x
−
4
17
Toppunktsbestemmelse
Toppunktsbestemmelse
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18
Vi finder nu den x-værdi, for
Vi finder nu den x-værdi, for
19
hvilken det gælder, at f ' ( x )
hvilken det gælder, at f ' ( x )
20
= 0, og i hvilken f ( x ) m.a.o.
= 0, og i hvilken f ( x ) m.a.o.
21
har vandret tangent:
har vandret tangent:
22
Expression 23: "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis
f
′
x
0
equals
=
0
0
23
Expression 24: StartFraction, 1 Over 2 StartRoot, "x" Subscript, 0 , Baseline , EndRoot , EndFraction minus 4
1
2
x
0
−
4
equals
=
0
0
24
Expression 25: StartFraction, 1 Over 2 StartRoot, "x" Subscript, 0 , Baseline , EndRoot , EndFraction equals 4
1
2
x
0
=
4
25
Expression 26: 1 equals 4 times 2 StartRoot, "x" Subscript, 0 , Baseline , EndRoot
1
=
4
·
2
x
0
26
Expression 27: StartRoot, "x" Subscript, 0 , Baseline , EndRoot equals 1 eighth
x
0
=
1
8
27
Expression 28: "x" Subscript, 0 , Baseline equals StartFraction, 1 Over 64 , EndFraction
x
0
=
1
6
4
equals
=
0.0 1 5 6 2 5
0
.
0
1
5
6
2
5
28
Funktionens maksimum:
Funktionens maksimum:
29
Expression 30: "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis
f
x
0
equals
=
2.0 6 2 5
2
.
0
6
2
5
30
Punkter og tangenter
Punkter og tangenter
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31
42
powered by
powered by
Start black, "f" prime left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis less than 0 End black
f
′
x
1
<
0
left parenthesis, "x" Subscript, 0 , Baseline , "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis
x
0
,
f
x
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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