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Turunan fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals left parenthesis x plus 7 right parenthesis left parenthesis x squared minus 5 x plus 3 right parenthesis end style adalah begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals end style....

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

turunan fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals left parenthesis x plus 7 right parenthesis left parenthesis x squared minus 5 x plus 3 right parenthesis end style adalah begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals 3 x squared plus 4 x minus 32 end style.

Pembahasan

Pada turunan perkalian dua buah fungsi, berlaku begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals u to the power of apostrophe v plus u v apostrophe end style, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell open parentheses x plus 7 close parentheses open parentheses x squared minus 5 x plus 3 close parentheses end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell left parenthesis x plus 7 right parenthesis apostrophe left parenthesis x squared minus 5 x plus 3 right parenthesis plus left parenthesis x plus 7 right parenthesis left parenthesis x squared minus 5 x plus 3 right parenthesis apostrophe end cell row blank equals cell 1 left parenthesis x squared minus 5 x plus 3 right parenthesis plus left parenthesis x plus 7 right parenthesis left parenthesis 2 x minus 5 right parenthesis end cell row blank equals cell left parenthesis x squared minus 5 x plus 3 right parenthesis plus left parenthesis 2 x squared plus 9 x minus 35 right parenthesis end cell row blank equals cell 3 x squared plus 4 x minus 32 end cell end table 

Jadi, turunan fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals left parenthesis x plus 7 right parenthesis left parenthesis x squared minus 5 x plus 3 right parenthesis end style adalah begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals 3 x squared plus 4 x minus 32 end style.

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