Pertanyaan

Jika diketahui f ( x ) = 2 x 2 3 − 2 x 2 1 , maka nilai dari f ( 1 ) = ....

Jika diketahui $f (x) = 2 x^{\frac{3}{2}} - 2 x^{\frac{1}{2}}$ , maka nilai dari $f (1) = ....$

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

nilai .

nilai

f apostrophe open parentheses 1 close parentheses equals 2

Pembahasan

Ingat kembali sifat-sifat turunan fungsi berikut: Diketahui , maka: Sehingga nilai dari adalah: Jadi, nilai .

Ingat kembali sifat-sifat turunan fungsi berikut:

Diketahui f open parentheses x close parentheses equals 2 x to the power of 3 over 2 end exponent minus 2 x to the power of 1 half end exponent , maka:

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

Sehingga nilai dari f apostrophe open parentheses 1 close parentheses adalah:

$table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell 3 square root of x minus fraction numerator 1 over denominator square root of x end fraction end cell row cell f apostrophe open parentheses 1 close parentheses end cell equals cell 3 square root of 1 minus fraction numerator 1 over denominator square root of 1 end fraction end cell row blank equals cell 3 times 1 minus 1 over 1 end cell row blank equals cell 3 minus 1 end cell row blank equals 2 end table$

Jadi, nilai f apostrophe open parentheses 1 close parentheses equals 2 .