Nilai maksimum fungsi y = 1 + sin 2x + cos 2x adalah
DB45
Y = 1 + sin 2x + cos 2x y' = 0 2 cos 2x - 2 sin 2x = 0 2(cos 2x - sin 2x)= 0 cos 2x = sin 2x cos 2x = cos (90-2x) 2x = 90- 2x 4x = 90 x = 22,5 y = 1 + sin 45 + cos 45 y = 1 + 1/2 √2 + 1/2 √2 y = 1 + √2
y' = 0
2 cos 2x - 2 sin 2x = 0
2(cos 2x - sin 2x)= 0
cos 2x = sin 2x
cos 2x = cos (90-2x)
2x = 90- 2x
4x = 90
x = 22,5
y = 1 + sin 45 + cos 45
y = 1 + 1/2 √2 + 1/2 √2
y = 1 + √2