Differensiasie: Kortpad differensiasie DATABASIS

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Som:	$Vir space die space volgende space funksie colon space bold italic f begin bold style left parenthesis x right parenthesis end style bold equals begin bold style left parenthesis 2 x minus 3 right parenthesis end style begin bold style left parenthesis x plus 4 right parenthesis end style bold plus fraction numerator bold 2 over denominator bold 3 bold x to the power of bold 4 end fraction a right parenthesis space space space Bepaal space die space eerste space afgeleide. straight b right parenthesis space space space Bepaal space die space tweede space afgeleide.$
Memo:	$table row cell f open parentheses x close parentheses equals open parentheses 2 x minus 3 close parentheses open parentheses x plus 4 close parentheses plus fraction numerator 2 over denominator 3 x to the power of 4 end fraction end cell row cell equals 2 x squared plus 5 x minus 12 plus 2 over 3 x to the power of negative 4 end exponent end cell end table a right parenthesis f open parentheses x close parentheses equals 2 x squared plus 5 x minus 12 plus 2 over 3 x to the power of negative 4 end exponent table row cell bold italic f bold apostrophe begin bold style left parenthesis x right parenthesis end style equals 2 open parentheses 2 close parentheses x to the power of 2 minus 1 end exponent plus 5 open parentheses 1 close parentheses x to the power of 1 minus 1 end exponent minus 0 plus 2 over 3 open parentheses negative 4 close parentheses x to the power of negative 4 minus 1 end exponent end cell row cell bold italic f bold apostrophe begin bold style left parenthesis x right parenthesis end style equals 4 x plus 5 x to the power of 0 minus 8 over 3 x to the power of negative 5 end exponent bold italic f bold apostrophe begin bold style left parenthesis x right parenthesis end style equals 4 x plus 5 minus fraction numerator 8 over denominator 3 x to the power of 5 end fraction end cell end table b right parenthesis table row cell table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell 4 x plus 5 minus 8 over 3 x to the power of negative 5 end exponent end cell row cell bold italic f bold apostrophe bold apostrophe begin bold style left parenthesis x right parenthesis end style end cell equals cell 4 open parentheses 1 close parentheses x to the power of 1 minus 1 end exponent plus 0 plus 8 over 3 open parentheses negative 5 close parentheses x to the power of negative 5 minus 1 end exponent end cell end table end cell row cell table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold italic f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell bold left parenthesis bold x bold right parenthesis end cell end table equals 4 x to the power of 0 plus 40 over 3 x to the power of negative 6 end exponent table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold italic f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell bold left parenthesis bold x bold right parenthesis end cell end table equals 4 plus fraction numerator 40 over denominator 3 x to the power of 6 end fraction end cell end table$
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