Question

Titik stasioner fungsi
F(x) = 1 + cos x dengan interval 0<=X<= 360

Answer 1

Titik stasioner dicapai jika F'(x) = 0
F'(x) = 0
-sin x = 0
sin x = 0
x = 0°, x = 180°, x = 360°

F(x) = 1 + cos x
F(0) = 1 + cos 0° = 1 + 1 = 2 => (0, 2)
F(180) = 1 + cos 180° = 1 + (-1) = 0 => (180, 0)
F(360) = 1 + cos 360° = 1 + 1 = 2 => (360, 2)

jadi, titik stasionernya adalah (0, 2), (180, 0), (360, 2).