Mohon bantuannya nomer 29
Matematika
Lenirosa
Pertanyaan
Mohon bantuannya nomer 29
2 Jawaban
-
1. Jawaban DB45
Turunan
perhatikan rumus sudut relasi
sin (π/2 + x) = cos x
.
y = - sin (2x + π/2)
y = - sin (π/2 + 2x)
y = - cos 2x
.
dy/dx = -2 sin 2x
dy/dx + 2y = - 2 sin 2x + 2(- cos 2x)
dy/dx + 2y = - 2 sin 2x - 2 cos 2x
untuk x = π/2
dy/dx + 2y = - 2 sin 2(π/2) - 2 cos 2(π/2) = - 2sin π - 2 cos π
dy/dx + 2y = - 2 (0) - 2(-1) = - 0 + 2
dy/dx + 2y = 2 -
2. Jawaban Anonyme
Turunan Fungsi Trigonometri.
Kelompok peminatan kelas XII kurikulum 2013 revisi 2016.
sin (A + 90°) = cos A
y = -sin (2x + π/2) = -cos 2x
dy / dx + 2y = -(-2 sin 2x) + 2(-cos 2x)
= 2 sin 2x - 2 cos 2x
= 2(sin 2x - cos 2x)
Untuk x = π/2
= 2 [sin (2 π/2) - cos (2 π/2)]
= 2 [0 - (-1)]
= 2