Expression 13: "y" Subscript, 0 , Baseline equals "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisy0=fx0
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Expression 14: "y" equals "a" "x" plus "b"y=ax+b
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Expression 15: "a" equals "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisa=f′x0
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Expression 16: "b" equals "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis minus "a" "x" Subscript, 0 , Baselineb=fx0−ax0
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Expression 18: StartFraction, "y" minus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis Over "x" minus "x" Subscript, 0 , Baseline , EndFraction equals "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisy−fx0x−x0=f′x0
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Expression 19: "y" minus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis equals "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis times left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesisy−fx0=f′x0·x−x0
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Expression 20: "y" equals "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis times left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis plus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisy=f′x0·x−x0+fx0
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Expression 21: "y" equals StartFraction, negative 3 Over "x" to the 4th power , EndFraction times left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis plus StartFraction, 1 Over "x" cubed , EndFractiony=−3x40·x−x0+1x30
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Expression 22: "y" equals StartFraction, 3 left parenthesis, "x" Subscript, 0 , Baseline minus "x" , right parenthesis Over "x" to the 4th power , EndFraction plus StartFraction, 1 Over "x" cubed , EndFractiony=3x0−xx40+1x30
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Expression 23: "y" equals StartFraction, 3 left parenthesis, "x" Subscript, 0 , Baseline minus "x" , right parenthesis Over "x" to the 4th power , EndFraction plus StartFraction, "x" Subscript, 0 , Baseline Over "x" to the 4th power , EndFractiony=3x0−xx40+x0x40
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Expression 24: "y" equals StartFraction, 3 left parenthesis, "x" Subscript, 0 , Baseline minus "x" , right parenthesis plus "x" Subscript, 0 , Baseline Over "x" to the 4th power , EndFractiony=3x0−x+x0x40