Differensiasie: Kortpad differensiasie DATABASIS

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Som:	$Evalueer space bold italic D subscript bold t bold space begin bold style left square bracket fraction numerator negative t to the power of 1 half end exponent plus cube root of t squared end root over denominator square root of t end fraction right square bracket end style$
Memo:	$table row cell table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell D subscript t open square brackets fraction numerator negative t to the power of 1 half end exponent plus cube root of t squared end root over denominator square root of t end fraction close square brackets end cell row blank equals cell D subscript t open square brackets fraction numerator negative t to the power of 1 half end exponent plus t to the power of 2 over 3 end exponent over denominator t to the power of 1 half end exponent end fraction close square brackets end cell row blank equals cell D subscript t open square brackets fraction numerator negative t to the power of 1 half end exponent over denominator t to the power of 1 half end exponent end fraction plus t to the power of 2 over 3 end exponent over t to the power of 1 half end exponent close square brackets end cell row blank equals cell D subscript t open square brackets fraction numerator negative up diagonal strike t to the power of 1 half end exponent end strike over denominator up diagonal strike t to the power of 1 half end exponent end strike end fraction plus t to the power of 2 over 3 minus 1 half end exponent close square brackets space space space space space space space space space space space space space space space space space space space space space space text Kanselleer end text space & space text Eksponentwet 3b end text end cell row blank equals cell D subscript t open square brackets negative 1 plus t to the power of 1 over 6 end exponent close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space text Vereenvoudig eksponente end text end cell row blank equals cell 0 plus 1 over 6 t to the power of 1 over 6 minus 1 end exponent end cell row blank equals cell 1 over 6 t to the power of negative 5 over 6 end exponent end cell row blank equals cell fraction numerator 1 over denominator 6 root index 6 of t to the power of 5 end root end fraction end cell end table end cell end table$
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