Jawaban:
-1/2 < x < 2
Penjelasan dengan langkah-langkah:
^ artinya pangkat
f(x) = 2/3 . x^3 - 3/2 . x² - 2x + 5
Turun
f'(x) < 0
3 . 2/3 x^(3 - 1) - 2 . 3/2 x^(2 - 1) - 2 < 0
2x² - 3x - 2 < 0
(2x + 1) . (x - 2) < 0
x - 2 < 0
x < 2
2x + 1 > 0
2x > -1
x > -1/2
-1/2 < x
Interval -1/2 < x < 2
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Jawaban:
-1/2 < x < 2
Penjelasan dengan langkah-langkah:
^ artinya pangkat
f(x) = 2/3 . x^3 - 3/2 . x² - 2x + 5
Turun
f'(x) < 0
3 . 2/3 x^(3 - 1) - 2 . 3/2 x^(2 - 1) - 2 < 0
2x² - 3x - 2 < 0
(2x + 1) . (x - 2) < 0
x - 2 < 0
x < 2
2x + 1 > 0
2x > -1
x > -1/2
-1/2 < x
Interval -1/2 < x < 2