Differensiasie: Kortpad differensiasie DATABASIS

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$Evalueer space fraction numerator d y over denominator d x end fraction space as bold space bold italic y bold equals bold x to the power of bold 6 over bold 2 bold plus bold 4 square root of bold x$

$fraction numerator d y over denominator d x end fraction equals 3 x to the power of 5 plus fraction numerator 2 over denominator square root of x end fraction$

DKWB_y=x^6d2+4wx

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

$fraction numerator d y over denominator d x end fraction equals 4 plus fraction numerator 2 over denominator 3 square root of x cubed end root end fraction minus fraction numerator 2 over denominator 9 x cubed end fraction$

DKWBH_y=(2wx-1d3x)^2