Pertanyaan

Jika f ( x ) = 3 x , nilai dari f ( x ) = ...

Jika $f (x) = 3 x$ , nilai dari $f (x) = ...$

R. Bella

Master Teacher

Mahasiswa/Alumni UIN Syarif Hidayatullah Jakarta

Jawaban terverifikasi

Jawaban

.

$begin mathsize 14px style f apostrophe open parentheses x close parentheses equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 3 x end root over denominator 2 x end fraction end cell end table end style$ .

Pembahasan

Dengan menggunakan rumus turunan aljabar Maka diperoleh Dengan demikian .

Dengan menggunakan rumus turunan aljabar

begin mathsize 14px style f open parentheses x close parentheses equals a x to the power of n rightwards arrow f apostrophe open parentheses x close parentheses equals n times a times x to the power of n minus 1 end exponent end style

Maka diperoleh

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell square root of 3 x end root equals square root of 3 square root of x equals square root of 3 space x to the power of 1 half end exponent end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell 1 half times square root of 3 times x to the power of 1 half minus 1 end exponent end cell row blank equals cell 1 half square root of 3 x to the power of negative 1 half end exponent end cell row blank equals cell fraction numerator square root of 3 over denominator 2 x to the power of begin display style 1 half end style end exponent end fraction end cell row blank equals cell fraction numerator square root of 3 over denominator 2 square root of x end fraction cross times fraction numerator square root of x over denominator square root of x end fraction end cell row blank equals cell fraction numerator square root of 3 x end root over denominator 2 x end fraction end cell end table end style$

Dengan demikian $begin mathsize 14px style f apostrophe open parentheses x close parentheses equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 3 x end root over denominator 2 x end fraction end cell end table end style$ .