- 2 sin x cos x = 0 - sin (2x) = 0 sin(2x) = 0 = sin 0 2x= 0 + k. 2π atau 2x = π + k. 2π x = 0 + k. π atau x = π/2 + k. π k= 0, x = 0 , x = π/2 k = 1 , x= π , x = 3π/2 k = 2 , x = 2π , x= 5π/2
garis bilangan f'(x) untuk 0 ≤ x ≤ 2π [0] - - [ π/2] + + [π] - - [3π/2] + + [2π]
a) interval naik f'(x) > 0 (positif) π/2 ≤ x ≤ ≤π dan 3π/2 ≤ x ≤ 2π
b) interval turun f'(x) < 0 (negatif) 0 ≤x ≤ π/2 dan π ≤x ≤ 3π/3
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TuruNan
F naik
F turun
fungsi
f(x) = - sin² x
turunan f'(x) = 0
- 2 sin x cos x = 0
- sin (2x) = 0
sin(2x) = 0 = sin 0
2x= 0 + k. 2π atau 2x = π + k. 2π
x = 0 + k. π atau x = π/2 + k. π
k= 0, x = 0 , x = π/2
k = 1 , x= π , x = 3π/2
k = 2 , x = 2π , x= 5π/2
garis bilangan f'(x) untuk 0 ≤ x ≤ 2π
[0] - - [ π/2] + + [π] - - [3π/2] + + [2π]
a) interval naik f'(x) > 0 (positif)
π/2 ≤ x ≤ ≤π dan 3π/2 ≤ x ≤ 2π
b) interval turun f'(x) < 0 (negatif)
0 ≤x ≤ π/2 dan π ≤x ≤ 3π/3
0 ≤x ≤ π/2 dan π ≤x ≤ 3π/2
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