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Turunan dari fungsi adalah...

Turunan dari fungsi size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px c size 14px o size 14px s size 14px left parenthesis size 14px 2 size 14px x to the power of size 14px 3 size 14px plus size 14px x to the power of size 14px 2 size 14px minus size 14px 6 size 14px x size 14px plus size 14px 2 size 14px right parenthesis adalah...

  1. begin mathsize 14px style negative s i n invisible function application left parenthesis 2 x cubed plus x squared minus 6 x plus 2 right parenthesis end style 

  2. begin mathsize 14px style c o s invisible function application left parenthesis 2 x cubed plus x squared minus 6 x plus 2 right parenthesis end style 

  3. begin mathsize 14px style negative left parenthesis 6 x squared plus 2 x minus 6 right parenthesis s i n invisible function application left parenthesis 2 x cubed plus x squared minus 6 x plus 2 right parenthesis end style 

  4. begin mathsize 14px style negative left parenthesis 6 x squared plus 2 x minus 6 right parenthesis c o s invisible function application left parenthesis 2 x cubed plus x squared minus 6 x plus 2 right parenthesis end style 

  5. begin mathsize 14px style left parenthesis 6 x squared plus 2 x minus 6 right parenthesis c o s invisible function application left parenthesis 2 x cubed plus x squared minus 6 x plus 2 right parenthesis end style 

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

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Pembahasan

bisa kita nyatakan dengan komposisi dua buah fungsi yakni g( x) = cos x dan dengan f( x) = g( h( x)) sehingga untuk mencari turunan f( x) , kita gunakan aturan rantai sehingga kita peroleh

begin mathsize 14px style f left parenthesis x right parenthesis equals c o s invisible function application left parenthesis 2 x cubed plus x squared minus 6 x plus 2 right parenthesis end style  bisa kita nyatakan dengan komposisi dua buah fungsi yakni g(x) cosx  dan begin mathsize 14px style h left parenthesis x right parenthesis equals 2 x cubed plus x squared minus 6 x plus 2 end style  dengan f(x) g(h(x))  sehingga untuk mencari turunan f(x) , kita gunakan aturan rantai sehingga kita peroleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f to the power of apostrophe left parenthesis x right parenthesis end cell equals cell g to the power of apostrophe left parenthesis h left parenthesis x right parenthesis right parenthesis cross times h to the power of apostrophe left parenthesis x right parenthesis end cell row blank equals cell negative s i n invisible function application left parenthesis 2 x cubed plus x squared minus 6 x plus 2 right parenthesis cross times left parenthesis 6 x squared plus 2 x minus 6 right parenthesis end cell row blank equals cell negative left parenthesis 6 x squared plus 2 x minus 6 right parenthesis s i n invisible function application left parenthesis 2 x cubed plus x squared minus 6 x plus 2 right parenthesis end cell end table end style 

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