Expression 18: StartFraction, "b" left parenthesis, "x" minus "h" , right parenthesis Over "a" StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , EndFractionbx−hax−h2−a2
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Finding 2nd derivative
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Expression 20: StartFraction, "d" Over "d" "x" , EndFraction left parenthesis, StartFraction, "b" left parenthesis, "x" minus "h" , right parenthesis Over "a" StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , EndFraction , right parenthesisddxbx−hax−h2−a2
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Expression 21: StartFraction, left parenthesis, left parenthesis, "b" times "a" StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , right parenthesis minus "b" left parenthesis, "x" minus "h" , right parenthesis times "a" times StartNestedFraction, 1 NestedOver 2 StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , EndNestedFraction times 2 left parenthesis, "x" minus "h" , right parenthesis , right parenthesis Over left parenthesis, "a" StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , right parenthesis squared , EndFractionb·ax−h2−a2−bx−h·a·12x−h2−a2·2x−hax−h2−a22
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Expression 22: StartFraction, "a" "b" StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot minus StartNestedFraction, "a" "b" left parenthesis, "x" minus "h" , right parenthesis squared NestedOver StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , EndNestedFraction Over "a" squared left parenthesis, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , right parenthesis , EndFractionabx−h2−a2−abx−h2x−h2−a2a2x−h2−a2
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Expression 23: StartFraction, "b" StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot minus StartNestedFraction, "b" left parenthesis, "x" minus "h" , right parenthesis squared NestedOver StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , EndNestedFraction Over "a" left parenthesis, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , right parenthesis , EndFractionbx−h2−a2−bx−h2x−h2−a2ax−h2−a2
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Expression 24: StartFraction, "b" StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot minus StartNestedFraction, "b" left parenthesis, "x" minus "h" , right parenthesis squared NestedOver StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , EndNestedFraction Over "a" left parenthesis, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , right parenthesis , EndFractionbx−h2−a2−bx−h2x−h2−a2ax−h2−a2
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Expression 25: StartFraction, StartNestedFraction, "b" StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot times StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot NestedOver StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , EndNestedFraction minus StartNestedFraction, "b" left parenthesis, "x" minus "h" , right parenthesis squared NestedOver StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , EndNestedFraction Over "a" left parenthesis, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , right parenthesis , EndFractionbx−h2−a2·x−h2−a2x−h2−a2−bx−h2x−h2−a2ax−h2−a2
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Expression 26: StartFraction, StartNestedFraction, "b" left parenthesis, "x" minus "h" , right parenthesis squared minus "b" "a" squared minus "b" left parenthesis, "x" minus "h" , right parenthesis squared NestedOver StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , EndNestedFraction Over "a" left parenthesis, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , right parenthesis , EndFractionbx−h2−ba2−bx−h2x−h2−a2ax−h2−a2
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Expression 27: StartFraction, negative "b" "a" squared Over "a" left parenthesis, StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , right parenthesis cubed , EndFraction−ba2ax−h2−a23
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2nd derivative
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Expression 29: StartFraction, negative "a" "b" Over left parenthesis, StartRoot, left parenthesis, "x" minus "h" , right parenthesis squared minus "a" squared , EndRoot , right parenthesis cubed , EndFraction−abx−h2−a23
