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Diketahui . Jika turunan pertama fungsi ,

Pertanyaan

Diketahui g open parentheses x close parentheses equals fraction numerator 2 minus 3 x over denominator x plus 5 end fraction. Jika turunan pertama fungsi g apostrophe open parentheses x close parenthesesg apostrophe open parentheses x close parentheses equals horizontal ellipsis 

  1. fraction numerator negative 17 over denominator x squared plus 5 x plus 25 end fraction 

  2. fraction numerator negative 17 over denominator x squared plus 10 x plus 25 end fraction 

  3. fraction numerator negative 6 x minus 17 over denominator x squared plus 10 x plus 25 end fraction 

  4. fraction numerator 6 x minus 17 over denominator x squared plus 5 x plus 25 end fraction 

  5. fraction numerator 6 x minus 17 over denominator x squared plus 10 x plus 25 end fraction 

Pembahasan Soal:

Misalkan, u equals 2 minus 3 x rightwards arrow u apostrophe equals negative 3 v equals x plus 5 rightwards arrow v apostrophe equals 1 

table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator u apostrophe v minus u v apostrophe over denominator v squared end fraction end cell row blank equals cell fraction numerator open parentheses negative 3 close parentheses open parentheses x plus 5 close parentheses minus open parentheses 2 minus 3 x close parentheses open parentheses 1 close parentheses over denominator open parentheses x plus 5 close parentheses squared end fraction end cell row blank equals cell fraction numerator negative 3 x minus 15 minus 2 plus 3 x over denominator x squared plus 10 x plus 25 end fraction end cell row blank equals cell fraction numerator negative 17 over denominator x squared plus 10 x plus 25 end fraction end cell end table 

Maka, pilihan jawaban yang benar adalah B.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 28 April 2021

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