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Turunan pertama dari  adalah..

Turunan pertama dari f open parentheses x close parentheses equals fraction numerator 3 x plus 2 over denominator 4 x minus 1 end fraction adalah..

  1. fraction numerator negative 11 over denominator open parentheses 4 x minus 1 close parentheses squared end fraction

  2. fraction numerator negative 11 x over denominator open parentheses 4 x minus 1 close parentheses squared end fraction

  3. 16 x squared minus 8 x plus 1

  4. 16 x squared plus 8 x plus 1

  5. 24 x squared minus 8 x minus 1

Jawaban:

Turunan pertama dari f open parentheses x close parentheses equals fraction numerator 3 x plus 2 over denominator 4 x minus 1 end fraction adalah..

table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses straight x close parentheses end cell equals cell fraction numerator 3 straight x plus 2 over denominator 4 straight x minus 1 end fraction end cell row cell misal space straight u space end cell equals cell space 3 straight x plus 2 rightwards arrow du equals 3 end cell row straight v equals cell 4 straight x minus 1 rightwards arrow dv equals 4 end cell end table

Maka, akan dicari nilai turunan pertama 

table attributes columnalign right center left columnspacing 0px end attributes row cell straight f apostrophe open parentheses straight x close parentheses end cell equals cell fraction numerator straight u apostrophe straight v minus straight v apostrophe straight u over denominator straight v squared end fraction end cell row blank equals cell fraction numerator 3 open parentheses 4 straight x minus 1 close parentheses minus 4 open parentheses 3 straight x plus 2 close parentheses over denominator open parentheses 4 straight x minus 1 close parentheses squared end fraction end cell row blank equals cell fraction numerator 12 straight x minus 3 minus 12 straight x minus 8 over denominator open parentheses 4 straight x minus 1 close parentheses squared end fraction end cell row blank equals cell fraction numerator negative 11 over denominator open parentheses 4 straight x minus 1 close parentheses squared end fraction end cell end table

Oleh karena itu, jawaban yang benar adalah A.

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