Soal Latihan USBN 2017 / 2018 Mapel: Matematika (Peminatan) Satuan Pendidikan: SMA Tahun: 2017 / 2018 Kurikulum: Kurikulum 2013

No.15. Limit Trigonometri

[tex] \lim_{x \to \ 0} \frac{1 - cos \ 4x}{x.sin2x} [/tex]

[tex] \lim_{x \to \ 0} \frac{2sin^22x}{x.sin2x} [/tex]

[tex] \lim_{x \to \ 0} 2(\frac{sin2x}{x})( \frac{sin2x}{sin2x} )[/tex]

= 2 x 2 x 1
Jawaban
= 4

No.16 Turunan Trigonometri

y = (sin 2x)(cos x)
y' = u'v + uv'

y' = (2cos 2x)(cos x) + (sin 2x)(-sin x)
y' = (2(2cos²x - 1))(cos x) - (2sin x.cos x)(sin x)
y' = 4cos³x - 2cos x - 2sin²x.cos x
Jawaban
y' = 4cos³x - 2cos x.(1 + 2sin²x)