Pertanyaan

Untuk y = 3 − 4 x ,tentukan d x d y = …

Untuk $y = 3 - 4 x$ , tentukan $\frac{d y}{d x} = \dots$

$fraction numerator 1 over denominator 2 square root of 3 minus 4 x end root end fraction$
$fraction numerator 2 over denominator square root of 3 minus 4 x end root end fraction$
$fraction numerator negative 1 over denominator square root of 3 minus 4 x end root end fraction$
$fraction numerator 1 over denominator square root of 3 minus 4 x end root end fraction$
$fraction numerator negative 2 over denominator square root of 3 minus 4 x end root end fraction$

M. Iqbal

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Ingat aturan rantai ,misalkan sehingga maka Oleh karena itu, jawaban yang benar adalah E.

Ingat aturan rantai $fraction numerator straight d y over denominator straight d x end fraction equals fraction numerator straight d y over denominator straight d u end fraction times fraction numerator straight d u over denominator straight d x end fraction$ , misalkan u equals 3 minus 4 x sehingga y equals blank square root of u maka

$table attributes columnalign right center left columnspacing 0px end attributes row y equals cell square root of u end cell row y equals cell u to the power of 1 half end exponent end cell row cell fraction numerator straight d y over denominator straight d x end fraction end cell equals cell fraction numerator straight d y over denominator straight d u end fraction times fraction numerator straight d u over denominator straight d x end fraction end cell row blank equals cell fraction numerator straight d left parenthesis u to the power of 1 half end exponent right parenthesis over denominator straight d u end fraction times fraction numerator straight d left parenthesis 3 minus 4 x right parenthesis over denominator straight d x end fraction end cell row blank equals cell 1 half u to the power of negative 1 half end exponent times negative 4 end cell row blank equals cell negative 2 u to the power of negative 1 half end exponent end cell row blank equals cell fraction numerator negative 2 over denominator square root of u end fraction end cell row blank equals cell fraction numerator negative 2 over denominator square root of 3 minus 4 x end root end fraction end cell end table$

Oleh karena itu, jawaban yang benar adalah E.

Latihan Bab

Gradien Garis Singgung

Turunan Fungsi Aljabar

Aplikasi Turunan I

Aplikasi Turunan II