
Turunan trigonometri 6-10
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•
Mathematics
•
12th Grade
•
Hard
Risna Fauzi
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Turunan trigonometri 6-10
hal 49
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6. Turunan fungsi f(x)=(sin x + cos x)2 adalah ....
sederhanakan dulu bentuk f(x) = (sin x + cos x)2 menjadi:
ingat (a + b)2 = a2 + b2 + 2ab
sehingga f(x) = (sin x + cos x)2
= ...
= ... ingat juga rumus identitas trigonometri
sin2 x + cos2 x = 1
Baru hasil f(x) = 1 + 2 sin x cos x diturunkan menjadi
f'(x) = 0 + 2 cos x cos x + 2 sin x (-sin x) ingat y= u.v --> y' = u'v+uv'
= 2 cos2 - 2 sin2 x
= 2 (cos2 x - sin2 x)
= ... ingat rumus sudut rangkap
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No. 7
ubah dulu bentuk akar menjadi pangkat 1/2
kemudian gunakan aturan rantai
Tentukan hasil akhirnya
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NO. 8
kerjakan satu persatu dan perhatikan rumus hal. 36
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no 9
lanjutkan dengan mengganti nilai cos dan sin nya.
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11. Misalkan y = u.v sehingga berlaku y' = u'v + uv'
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12.
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15.
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yang kurang jelas
silakan tanyakan
Turunan trigonometri 6-10
hal 49
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