Expression 15: "L" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals absolute value left parenthesis, "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis plus absolute value left parenthesis, "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis , right parenthesisL1x=absf1x+absf2x
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Expression 16: "L" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis equals StartRoot, "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis squared plus "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis squared , EndRootL2x=f1x2+f2x2
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Expression 17: "L" Subscript, "i" "n" "f" , Baseline left parenthesis, "x" , right parenthesis equals max left parenthesis, abs left parenthesis, "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis , abs left parenthesis, "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis , right parenthesisLinfx=maxabsf1x,absf2x
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Expression 18: "L" Subscript, 0 , Baseline left parenthesis, "x" , right parenthesis equals absolute value left parenthesis, sign left parenthesis, "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis , right parenthesis plus absolute value left parenthesis, sign left parenthesis, "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis , right parenthesisL0x=abssignf1x+abssignf2x
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Expression 19: "L" left parenthesis, "x" , "n" , right parenthesis equals left parenthesis, "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis Superscript, "n" , Baseline plus "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis Superscript, "n" , Baseline , right parenthesis Superscript, StartFraction, 1 Over "n" , EndFraction , BaselineLx,n=f1xn+f2xn1n
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Expression 20: "L" Subscript, "n" , Baseline left parenthesis, "x" , right parenthesis equals "L" left parenthesis, "x" , "N" , right parenthesisLnx=Lx,N
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derivatives
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Expression 22: StartFraction, "d" Over "d" "x" , EndFraction "L" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis Has graph. To audio trace, press ALT+T.ddxL1x
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Expression 23: StartFraction, "d" Over "d" "x" , EndFraction "L" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis Has graph. To audio trace, press ALT+T.ddxL2x
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Expression 24: StartFraction, "d" Over "d" "x" , EndFraction "L" Subscript, "i" "n" "f" , Baseline left parenthesis, "x" , right parenthesis Has graph. To audio trace, press ALT+T.ddxLinfx
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Expression 25: StartFraction, "d" Over "d" "x" , EndFraction "L" Subscript, "n" , Baseline left parenthesis, "x" , right parenthesis Has graph. To audio trace, press ALT+T.ddxLnx
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base funcs
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Expression 27: "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals absolute value left parenthesis, 2 "x" plus 1 , right parenthesisf1x=abs2x+1
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Expression 28: "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis equals absolute value left parenthesis, "x" minus 1 , right parenthesisf2x=absx−1