Expression 9: left parenthesis, "f" prime left parenthesis, "x" , right parenthesis , right parenthesis squared plus 1 less than or equal to 2 left parenthesis, "f" prime prime left parenthesis, "x" , right parenthesis , right parenthesis left parenthesis, "f" left parenthesis, "x" , right parenthesis minus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesisf′x2+1≤2f′′xfx−fx0
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Expression 10: "y" minus "f" left parenthesis, "x" Subscript, "o" "f" "f" , Baseline , right parenthesis equals StartFraction, 1 plus "f" prime left parenthesis, "x" Subscript, "o" "f" "f" , Baseline , right parenthesis squared Over 4 left parenthesis, "f" left parenthesis, "x" Subscript, "o" "f" "f" , Baseline , right parenthesis minus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis , EndFraction left parenthesis, "x" minus "x" Subscript, "o" "f" "f" , Baseline , right parenthesis squared plus left parenthesis, "x" minus "x" Subscript, "o" "f" "f" , Baseline , right parenthesis "f" prime left parenthesis, "x" Subscript, "o" "f" "f" , Baseline , right parenthesis left brace, left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "o" "f" "f" , Baseline , right parenthesis "x" less than or equal to left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, "o" "f" "f" , Baseline , right parenthesis "x" Subscript, "o" "f" "f" , Baseline , right brace Has graph. To audio trace, press ALT+T.y−fxoff=1+f′xoff24fxoff−fx0x−xoff2+x−xofff′xoffx0−xoffx≤x0−xoffxoff
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Hidden Label: left brace, "t" less than "t" Subscript, "o" "f" "f" , Baseline : left parenthesis, "x" Subscript, "c" , Baseline , "f" left parenthesis, "x" Subscript, "c" , Baseline , right parenthesis , right parenthesis , left parenthesis, "x" Subscript, "o" "f" "f" , Baseline , "f" left parenthesis, "x" Subscript, "o" "f" "f" , Baseline , right parenthesis plus StartFraction, "g" Over 2 , EndFraction left parenthesis, "t" minus "t" Subscript, "o" "f" "f" , Baseline , right parenthesis squared , right parenthesis minus sign left parenthesis, "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis left parenthesis, 1 , "f" prime left parenthesis, "x" Subscript, "o" "f" "f" , Baseline , right parenthesis , right parenthesis left parenthesis, "t" minus "t" Subscript, "o" "f" "f" , Baseline , right parenthesis StartRoot, StartFraction, 2 "g" left parenthesis, "f" left parenthesis, "x" Subscript, "o" "f" "f" , Baseline , right parenthesis minus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis Over 1 plus "f" prime left parenthesis, "x" Subscript, "o" "f" "f" , Baseline , right parenthesis squared , EndFraction , EndRoot , right brace equals left parenthesis, negative 0.5 9 9 9 2 4 7 3 7 1 2 3 , 3.5 7 5 8 2 8 4 1 6 5 , right parenthesis Has graph. To audio trace, press ALT+T.t<toff:xc,fxc,xoff,fxoff+g2t−toff2−signf′x01,f′xofft−toff2gfxoff−fx01+f′xoff2
Hidden Label: left parenthesis, "x" Subscript, 0 , Baseline , "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis equals left parenthesis, negative 0.6 , 3.5 7 6 , right parenthesis Has graph. To audio trace, press ALT+T.x0,fx0
Label
equals=
left parenthesis, negative 0.6 , 3.5 7 6 , right parenthesis−0.6,3.576
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Expression 13: "v" squared equals 2 "g" left parenthesis, "f" left parenthesis, "x" , right parenthesis minus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis We only support implicit equations of x and y.v2=2gfx−fx0