tugas perbaikan nilai matematika kuis 1
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TUGAS PERBAIKAN NILAI MATEMATIKA
KUIS 1
TANGGAL : 27 MARET 2015
NAMA : GERIAN DWIKI SAKTI SANUSI PUTRA
SOAL!!
1. y=¿
2. y= 1¿¿
= ?
3. y= 3√x2+8 x→ y '=?
4. y=6x2+5 x→ y =
5. y=7 x4+sin 4 x+cos5 x→ y = ?}¿¿
JAWABAN!!
1. y=¿
misal4=x2+6 x makadudx
=2 x+6
y=u5makadydu
=5u4=5 (x2+6 x ) 4
→dudx
=dydu∙dudx
=5¿)
= (10 x+30 ) ∙¿
2. y= 1¿¿
misal u=x3−6 xmakadudx
=3 x2−6
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y=u−4maka∂ y∂u
=−4u−5=−4 ¿
→∂ y∂ x
=dydu∙dudx
=−4¿
¿ (−12 x2+24 ) ∙¿
3. y= 3√x2+8 x→ y=¿
misal u=x2+8 x makadudx
=2 x+8
y=u13maka
dydu
=13u
−23 =1
3¿
→dydx
=dydu∙dudx
=13¿
¿
13(2 x+8)
¿¿
4. y=6x2+5 x
y '=12 x+5
y ' '=12
5. y=7 x4+sin 4 x+cos5 x
y '=28 x3+¿
y '=28 x3+4 cos4 x−5sin 5 x
y ' '=84 x2+¿
y ' '=84 x2−16 sin 4 x−25 cos5 x