Expression 15: "t" left parenthesis, "x" , right parenthesis equals "a" Subscript, 1 , Baseline "x" plus "b" Subscript, 1 , Baselinetx=a1x+b1
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Expression 16: "a" Subscript, 1 , Baseline equals "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisa1=f′x0
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Expression 17: "b" Subscript, 1 , Baseline equals negative "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis times "x" Subscript, 0 , Baseline plus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisb1=−f′x0·x0+fx0
17
Hjælpelinjer
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Expression 19: "x" equals "x" Subscript, 0 , Baseline left brace, 0 less than or equal to "y" less than or equal to "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right bracex=x00≤y≤fx0
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Expression 20: "y" equals "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left brace, 0 less than or equal to "x" less than or equal to "x" Subscript, 0 , Baseline , right bracey=fx00≤x≤x0
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Expression 21: "x" equals "x" Subscript, 0 , Baseline plus "h" left brace, 0 less than or equal to "y" less than or equal to "t" left parenthesis, "x" Subscript, 0 , Baseline plus "h" , right parenthesis , right bracex=x0+h0≤y≤tx0+h
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Expression 22: "y" equals "t" left parenthesis, "x" Subscript, 0 , Baseline plus "h" , right parenthesis left brace, 0 less than or equal to "x" less than "x" Subscript, 0 , Baseline plus "h" , right bracey=tx0+h0≤x<x0+h
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Punkter
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23
Expression 24: left parenthesis, "x" Subscript, 0 , Baseline , "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesisx0,fx0
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Expression 25: left parenthesis, "x" Subscript, 0 , Baseline plus "h" , "t" left parenthesis, "x" Subscript, 0 , Baseline plus "h" , right parenthesis , right parenthesisx0+h,tx0+h
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Expression 26: left parenthesis, negative 0.2 5 , "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis−0.25,fx0
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Expression 27: left parenthesis, negative 0.2 5 , "t" left parenthesis, "x" Subscript, 0 , Baseline plus "h" , right parenthesis , right parenthesis−0.25,tx0+h
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Expression 28: left parenthesis, "x" Subscript, 0 , Baseline , negative 0.2 5 , right parenthesisx0,−0.25
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Expression 29: left parenthesis, "x" Subscript, 0 , Baseline plus "h" , negative 0.2 5 , right parenthesisx0+h,−0.25