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table attributes columnalign left end attributes row cell Bepaal space dy over dx space en space laat space jou space antwoord space in space positiewe space eksponentvorm colon bold italic y bold equals begin bold style left parenthesis 2 square root of x minus fraction numerator 1 over denominator 3 x end fraction right parenthesis end style to the power of bold 2 end cell end table
Memo:

table attributes columnalign right center left columnspacing 0px end attributes row y equals cell open parentheses 2 square root of x minus fraction numerator 1 over denominator 3 x end fraction close parentheses squared end cell row y equals cell open parentheses 2 square root of x minus fraction numerator 1 over denominator 3 x end fraction close parentheses open parentheses 2 square root of x minus fraction numerator 1 over denominator 3 x end fraction close parentheses end cell row y equals cell open parentheses 2 square root of x close parentheses squared minus fraction numerator 2 square root of x over denominator 3 x end fraction minus fraction numerator 2 square root of x over denominator 3 x end fraction plus open parentheses fraction numerator 1 over denominator 3 x end fraction close parentheses squared end cell row y equals cell 4 x minus fraction numerator 4 square root of x over denominator 3 x end fraction plus fraction numerator 1 over denominator 9 x squared end fraction end cell row y equals cell 4 x minus fraction numerator 4 x to the power of 1 half end exponent x to the power of negative 1 end exponent over denominator 3 end fraction plus fraction numerator 1 over denominator 9 x squared end fraction end cell row y equals cell 4 x minus fraction numerator 4 x to the power of 1 half plus open parentheses negative 1 close parentheses end exponent over denominator 3 end fraction plus fraction numerator 1 over denominator 9 x squared end fraction end cell row y equals cell 4 x to the power of 1 minus 4 over 3 x to the power of negative 1 half end exponent plus 1 over 9 x to the power of negative 2 end exponent end cell row cell fraction numerator d y over denominator d x end fraction end cell equals cell 4 open parentheses 1 close parentheses x to the power of 1 minus 1 end exponent minus 4 over 3 open parentheses negative 1 half close parentheses x to the power of negative 1 half minus 1 end exponent plus 1 over 9 left parenthesis negative 2 right parenthesis x to the power of negative 2 minus 1 end exponent end cell row cell fraction numerator begin display style d y end style over denominator begin display style d x end style end fraction end cell equals cell 4 x to the power of 0 plus fraction numerator begin display style 2 end style over denominator begin display style 3 end style end fraction x to the power of negative fraction numerator begin display style 3 end style over denominator begin display style 2 end style end fraction end exponent minus fraction numerator begin display style 2 end style over denominator begin display style 9 end style end fraction x to the power of negative 3 end exponent end cell row cell fraction numerator d y over denominator d x end fraction end cell equals cell 4 plus fraction numerator 2 over denominator 3 square root of x cubed end root end fraction minus fraction numerator 2 over denominator 9 x cubed end fraction end cell end table
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