Expression 24: "a" Subscript, "s" , Baseline equals StartFraction, "f" left parenthesis, "x" Subscript, 0 , Baseline plus "h" , right parenthesis minus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis Over "h" , EndFractionas=fx0+h−fx0h
equals=
0.2 4 0 2 5 3 0 7 3 3 5 20.240253073352
24
Expression 25: StartFraction, StartRoot, "x" Subscript, 0 , Baseline plus "h" , EndRoot minus StartRoot, "x" Subscript, 0 , Baseline , EndRoot Over "h" , EndFractionx0+h−x0h
equals=
0.2 4 0 2 5 3 0 7 3 3 5 20.240253073352
25
Expression 26: "y" equals "a" Subscript, "s" , Baseline left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis plus "y" Subscript, 0 , Baseliney=asx−x0+y0
26
Expression 27: "y" equals "a" Subscript, "s" , Baseline "x" minus "a" Subscript, "s" , Baseline "x" Subscript, 0 , Baseline plus "y" Subscript, 0 , Baseliney=asx−asx0+y0
27
Expression 28: "b" Subscript, "s" , Baseline equals "y" Subscript, 0 , Baseline minus "a" Subscript, "s" , Baseline "x" Subscript, 0 , Baselinebs=y0−asx0
equals=
0.7 5 9 7 4 6 9 2 6 6 4 80.759746926648
28
Expression 29: "y" equals "a" Subscript, "s" , Baseline "x" plus "b" Subscript, "s" , Baseliney=asx+bs
29
Sekantens hældning
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30
→ tangentens, når h → 0
31
Expression 32: "h" equals 9h=9
StartFraction, 1 Over 10 to the 6th power , EndFraction1106
2020
32
Expression 33: "a" Subscript, "s" , Baselineas
equals=
0.2 4 0 2 5 3 0 7 3 3 5 20.240253073352
33
Expression 34: "a" Subscript, "t" , Baselineat
equals=
0.50.5
34
Sekanthældningen (bevis)
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35
Expression 36: StartFraction, "f" left parenthesis, "x" , right parenthesis minus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis Over "x" minus "x" Subscript, 0 , Baseline , EndFractionfx−fx0x−x0
36
Expression 37: StartFraction, StartRoot, "x" , EndRoot minus StartRoot, "x" Subscript, 0 , Baseline , EndRoot Over "x" minus "x" Subscript, 0 , Baseline , EndFractionx−x0x−x0
37
Expression 38: StartFraction, left parenthesis, StartRoot, "x" , EndRoot minus StartRoot, "x" Subscript, 0 , Baseline , EndRoot , right parenthesis times left parenthesis, StartRoot, "x" , EndRoot plus StartRoot, "x" Subscript, 0 , Baseline , EndRoot , right parenthesis Over left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis times left parenthesis, StartRoot, "x" , EndRoot plus StartRoot, "x" Subscript, 0 , Baseline , EndRoot , right parenthesis , EndFractionx−x0·x+x0x−x0·x+x0
38
Expression 39: StartFraction, left parenthesis, StartRoot, "x" , EndRoot , right parenthesis squared plus StartRoot, "x" , EndRoot times StartRoot, "x" Subscript, 0 , Baseline , EndRoot minus StartRoot, "x" Subscript, 0 , Baseline , EndRoot times StartRoot, "x" , EndRoot minus left parenthesis, StartRoot, "x" Subscript, 0 , Baseline , EndRoot , right parenthesis squared Over left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis times left parenthesis, StartRoot, "x" , EndRoot plus StartRoot, "x" Subscript, 0 , Baseline , EndRoot , right parenthesis , EndFractionx2+x·x0−x0·x−x02x−x0·x+x0
39
Expression 40: StartFraction, left parenthesis, StartRoot, "x" , EndRoot , right parenthesis squared minus left parenthesis, StartRoot, "x" Subscript, 0 , Baseline , EndRoot , right parenthesis squared Over left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis times left parenthesis, StartRoot, "x" , EndRoot plus StartRoot, "x" Subscript, 0 , Baseline , EndRoot , right parenthesis , EndFractionx2−x02x−x0·x+x0
40
Expression 41: StartFraction, left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis Over left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis times left parenthesis, StartRoot, "x" , EndRoot plus StartRoot, "x" Subscript, 0 , Baseline , EndRoot , right parenthesis , EndFractionx−x0x−x0·x+x0
41
Expression 42: StartFraction, 1 Over StartRoot, "x" , EndRoot plus StartRoot, "x" Subscript, 0 , Baseline , EndRoot , EndFraction1x+x0
42
→ tangenthældningen
43
Expression 44: StartFraction, 1 Over 2 times StartRoot, "x" Subscript, 0 , Baseline , EndRoot , EndFraction12·x0
equals=
0.50.5
44
når x →
45
Expression 46: "x" Subscript, 0 , Baselinex0
equals=
11
46
Punkter
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47
53
powered by
powered by
Start black, left parenthesis, "x" Subscript, 0 , Baseline , "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis End blackx0,fx0
Start #140616, left parenthesis, "x" Subscript, 0 , Baseline plus "h" , "f" left parenthesis, "x" Subscript, 0 , Baseline plus "h" , right parenthesis , right parenthesis End #140616x0+h,fx0+h
