Pertanyaan

Turunan pertama dari fungsi y = 2 x + 3 − 5 + 1 untuk x  = − 2 3 adalah...

Turunan pertama dari fungsi $y = \frac{- 5 + 1}{2 x + 3}$ untuk $x \neq = - \frac{3}{2}$ adalah...

$y apostrophe equals fraction numerator negative 12 over denominator open parentheses 2 x plus 3 close parentheses squared end fraction$
$y apostrophe equals fraction numerator negative 13 over denominator open parentheses 2 x plus 3 close parentheses squared end fraction$
$y apostrophe equals fraction numerator negative 17 over denominator open parentheses 2 x plus 3 close parentheses squared end fraction$

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Penyelesaian : Misal : U = -5x + 1 U' = -5 v = 2x +3 V' =2

Penyelesaian :

$y equals fraction numerator negative 5 x plus 1 over denominator 2 x plus 3 end fraction$

Misal :

U = -5x + 1

U' = -5

v = 2x +3

V' =2

$y equals U over V rightwards arrow y apostrophe equals fraction numerator U apostrophe V minus U V apostrophe over denominator V squared end fraction Y apostrophe equals fraction numerator negative 5 left parenthesis 2 x plus 3 right parenthesis minus 2 left parenthesis negative 5 x plus l right parenthesis over denominator left parenthesis 2 x plus 3 right parenthesis squared end fraction equals fraction numerator negative space 10 space minus space 15 plus space 10 x minus 2 over denominator left parenthesis 2 x plus 3 right parenthesis squared end fraction equals fraction numerator negative 17 over denominator left parenthesis 2 x plus 3 right parenthesis squared end fraction$