Differensiasie: DK5

$B epaal space y apostrophe space indien bold space bold italic y bold equals bold minus bold italic x to the power of bold 2 over bold 3 end exponent bold plus bold 2 over bold 3 bold italic x to the power of bold minus bold 3 end exponent$

Antwoord

$table row cell y equals negative x to the power of 2 over 3 end exponent plus 2 over 3 x to the power of negative 3 end exponent end cell row cell bold italic y bold apostrophe equals negative 1 open parentheses 2 over 3 close parentheses x to the power of 2 over 3 minus 1 end exponent plus open parentheses 2 over 3 close parentheses open parentheses negative 3 close parentheses x to the power of negative 3 minus 1 end exponent end cell row cell bold italic y bold apostrophe equals negative 2 over 3 x to the power of negative 1 third end exponent minus 2 x to the power of negative 4 end exponent end cell end table$