f(x)=2/3x³-3/2x²-2x+5 turun pada interval

Kelas 11 Matematika
Bab Turunan

^ = pangkat

f(x) = (2/3) x^3 - (3/2) x² - 2x + 5

Turun

f'(x) < 0
3 . (2/3) x² - 2 . (3/2) x - 2 < 0
2x² - 3x - 2 < 0
(2x + 1) (x - 2) < 0
x - 2 < 0
x < 2

2x + 1 > 0
2x > -1
x > -1/2

Interval -1/2 < x < 2