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Jika g(x)=(2−3x)4, nilai g (2)−g (2) adalah...

Pertanyaan

Jika begin mathsize 14px style g left parenthesis x right parenthesis equals left parenthesis 2 minus 3 x right parenthesis to the power of 4 end style, nilai begin mathsize 14px style g apostrophe left parenthesis 2 right parenthesis minus g double apostrophe left parenthesis 2 right parenthesis end style adalah...

  1. begin mathsize 14px style 960 end style 

  2. size 14px 768 

  3. size 14px minus size 14px 768 

  4. size 14px minus size 14px 960 

  5. size 14px minus size 14px 1768 

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D

Pembahasan

Aturan rantai turunan fungsi.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px y end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell begin mathsize 14px style left parenthesis u open parentheses x close parentheses right parenthesis end style end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px maka end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px y end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell begin mathsize 14px style left parenthesis u open parentheses x close parentheses right parenthesis end style end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px u end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell begin mathsize 14px style left parenthesis x right parenthesis end style end cell end table 

Penyelesainnya:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g apostrophe left parenthesis x right parenthesis end cell equals cell 4 left parenthesis 2 minus 3 x right parenthesis cubed left parenthesis negative 3 right parenthesis space end cell row blank equals cell negative 12 left parenthesis 2 minus 3 x right parenthesis cubed space space end cell row blank blank blank row cell g apostrophe left parenthesis 2 right parenthesis end cell equals cell negative 12 left parenthesis 2 minus 3 left parenthesis 2 right parenthesis right parenthesis cubed space end cell row blank equals cell negative 12 left parenthesis negative 4 right parenthesis cubed space equals 768 end cell row blank blank blank row cell g apostrophe apostrophe left parenthesis x right parenthesis end cell equals cell negative 36 left parenthesis 2 minus 3 x right parenthesis squared left parenthesis negative 3 right parenthesis space end cell row blank equals cell 108 left parenthesis 2 minus 3 x right parenthesis squared space space end cell row blank blank blank row cell g apostrophe apostrophe left parenthesis 2 right parenthesis end cell equals cell 108 left parenthesis 2 minus 3 left parenthesis 2 right parenthesis right parenthesis squared space end cell row blank equals cell 108 left parenthesis 16 right parenthesis end cell row blank equals 1728 row blank blank blank row cell g apostrophe left parenthesis 2 right parenthesis minus g apostrophe apostrophe left parenthesis 2 right parenthesis end cell equals cell 768 minus 1728 end cell row blank equals cell negative 960 end cell row blank blank blank row blank blank blank end table end style 

Jadi, jawaban yang tepat adalah D

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