Expression 16: "y" equals "a" Subscript, "t" , Baseline "x" plus "b" Subscript, "t" , Baseline Has graph. To audio trace, press ALT+T.y=atx+bt
16
Sekantens ligning
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17
Expression 18: "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 left parenthesis, "x" Subscript, 0 , Baseline plus "h" , right parenthesis minus "x" Subscript, 0 , Baseline , EndFraction equals 0.4 5 4 6 4 8 7 1 3 4 1 3as=fx0+h−fx0x0+h−x0
equals=
0.4 5 4 6 4 8 7 1 3 4 1 30.454648713413
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Expression 19: StartFraction, "f" left parenthesis, "x" Subscript, 0 , Baseline plus "h" , right parenthesis minus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis Over "h" , EndFraction equals 0.4 5 4 6 4 8 7 1 3 4 1 3fx0+h−fx0h
equals=
0.4 5 4 6 4 8 7 1 3 4 1 30.454648713413
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Expression 20: "y" equals "a" Subscript, "s" , Baseline left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis plus "y" Subscript, 0 , Baseliney=asx−x0+y0
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Expression 21: "y" equals "a" Subscript, "s" , Baseline "x" minus "a" Subscript, "s" , Baseline "x" Subscript, 0 , Baseline plus "y" Subscript, 0 , Baseliney=asx−asx0+y0
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Expression 22: "b" Subscript, "s" , Baseline equals "y" Subscript, 0 , Baseline minus "a" Subscript, "s" , Baseline "x" Subscript, 0 , Baseline equals 0bs=y0−asx0
equals=
00
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Expression 23: "y" equals "a" Subscript, "s" , Baseline "x" plus "b" Subscript, "s" , Baseline Has graph. To audio trace, press ALT+T.y=asx+bs
23
Sekantens hældning
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24
→ tangentens, når h → 0:
25
Expression 26: "h" equals 4h=4
StartFraction, 1 Over 10 to the 6th power , EndFraction1106
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
