Pertanyaan

JIka f ( x ) = 6 ( 3 x − 1 ) 5 , maka f ( x ) = ...

JIka $f (x) = 6 (3 x - 1)^{5}$ , maka $f (x) =$ ...

E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

turunan fungsi adalah .

turunan fungsi f left parenthesis x right parenthesis equals 6 square root of open parentheses 3 x minus 1 close parentheses to the power of 5 end root

f left parenthesis x right parenthesis equals 6 square root of open parentheses 3 x minus 1 close parentheses to the power of 5 end root

adalah

f apostrophe left parenthesis x right parenthesis equals 45 square root of open parentheses 3 x minus 1 close parentheses cubed end root

Pembahasan

Diketahui fungsi . Turunan fungsi adalah sebagaiberikut: Jadi, turunan fungsi adalah .

Diketahui fungsi f left parenthesis x right parenthesis equals 6 square root of open parentheses 3 x minus 1 close parentheses to the power of 5 end root .

Turunan fungsi f left parenthesis x right parenthesis space adalah sebagai berikut:

$table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell 6 square root of open parentheses 3 x minus 1 close parentheses to the power of 5 end root end cell row cell f left parenthesis x right parenthesis end cell equals cell 6 open parentheses 3 x minus 1 close parentheses to the power of begin inline style 5 over 2 end style end exponent end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 6 times 5 over 2 open parentheses 3 x minus 1 close parentheses to the power of begin inline style 5 over 2 end style minus 1 end exponent times fraction numerator straight d over denominator straight d x end fraction open parentheses 3 x minus 1 close parentheses end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 30 over 2 open parentheses 3 x minus 1 close parentheses to the power of begin inline style 3 over 2 end style end exponent times 3 end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 45 open parentheses 3 x minus 1 close parentheses to the power of begin inline style 3 over 2 end style end exponent end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 45 square root of open parentheses 3 x minus 1 close parentheses cubed end root end cell end table$

Jadi, turunan fungsi f left parenthesis x right parenthesis equals 6 square root of open parentheses 3 x minus 1 close parentheses to the power of 5 end root adalah f apostrophe left parenthesis x right parenthesis equals 45 square root of open parentheses 3 x minus 1 close parentheses cubed end root .