tentukan interval fungsi naik dan turun dari f(x)=1/3x³-5/2x²+6x

f(x) = 1/3x³ - 5/2x² + 6x
f(x)' = x² - 5x + 6
*interval fungsi naik
f(x)' > 0
x² - 5x + 6 > 0
(x-2) (x-3) > 0 ===> x= 2 | x= 3 > 0

* interval fungsi turun
f(x)' < 0
x² - 5x + 6 < 0
(x-2) (x-3) < 0 ==> x= 2 | x= 3 < 0