Pertanyaan

Diketahui f ( x ) = x 3 − 8 , maka f ( x ) = ...

Diketahui $f (x) = x^{3} - 8$ , maka $f (x) =$ ...

$fraction numerator 3 x squared over denominator 2 square root of x cubed minus 8 end root end fraction$
$fraction numerator 6 x squared over denominator square root of x cubed minus 8 end root end fraction$
$fraction numerator 2 over denominator square root of x cubed minus 8 end root end fraction$
$fraction numerator 3 x over denominator 2 square root of x cubed minus 8 end root end fraction$
$fraction numerator 6 x over denominator square root of x cubed minus 8 end root end fraction$

S. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Prof. DR. Hamka

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Gunakan rumus turunan fungsi: Diperoleh fungsi turunannyayaitu: Maka . Jadi, jawaban yang tepat adalah A.

Gunakan rumus turunan fungsi:

Diperoleh fungsi turunannya yaitu:

$table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell square root of x cubed minus 8 end root end cell row cell f open parentheses x close parentheses end cell equals cell open parentheses x cubed minus 8 close parentheses to the power of 1 half end exponent end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell 1 half times open parentheses x cubed minus 8 close parentheses to the power of 1 half minus 1 end exponent times 3 x to the power of 3 minus 1 end exponent end cell row blank equals cell 1 half open parentheses x cubed minus 8 close parentheses to the power of negative 1 half end exponent times 3 x squared end cell row blank equals cell 3 over 2 x squared open parentheses x cubed minus 8 close parentheses to the power of negative 1 half end exponent end cell row blank equals cell fraction numerator 3 x squared over denominator 2 square root of x cubed minus 8 end root end fraction end cell end table$

Maka f apostrophe open parentheses x close parentheses equals $fraction numerator 3 x squared over denominator 2 square root of x cubed minus 8 end root end fraction$ .

Jadi, jawaban yang tepat adalah A.