Hitunglah turunan dari faktor berikut

Turunan Pecahan

y = u/v

y' = (u'v – uv') / v²

.

y = (2x² – 3x + 1) / (2x + 1)

.

u = 2x² -3x + 1

u' = 4x – 3

.

v = 2x + 1

v' = 2

.

y' = (u'v – uv') /(v²

y' = { (4x – 3)(2x + 1)  - (2x²- 3x + 1)(2) } / (2x +1)²

y' = { 8x²- 2x – 3 – 4x²+ 6x – 2 } / (2x + 1)²

y' = ( 4x² + 4x – 5 ) / ( 2x + 1 )²