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1
Diferensial Aljabar
Diferensial Eksponensial & Diferensial Antilog
Diferensial Eksponensial
2.
'.' xey
ey
x
x
=
=
Contoh Soal
1.
4.2
44.2
223.2
.2
10.
64.
2.3.4.'
32
3.2
32
32
xe
xxe
xxxxey
ey
xx
xx
xx
xx
⇒
+⇒
+=
=
( )
( )
32
32.
2.32.'
32
32
2132
32
21
21
+⇒
+⇒
+=
=
+
−+
−+
+
x
e
xe
xey
ey
x
x
x
x
2
Diferensial Eksponensial
3.
xe
xx
xe
x
x
x
xe
x
xx
x
xe
x
xxx
x
xey
ey
x
x
x
x
x
x
x
x
x
x
x
x
1ln.
2
1.
2ln.
4
2.
2ln.
4
42.
2ln.
)2(
))(4()2)(1(.
2
1ln.'
2
2
2
2
2
2
2log
2
2
2log
4
22
2log
4
222
2log
22
2
2
2log
2log
−=
−=
−=
−=
−=
=
Diferensial Antilog
2.
3.
'.1
'
ln
xx
y
xy
=
=
Contoh Soal
1.
)4(
)2.()4(2
1.
4
1'
4ln
2
2
2
2
21
x
x
xxx
y
xy
−−=
−−−
=
−=
−
( ) [ ]
xxxxx
xx
xxxx
xh
xxxh
+=
+=
=
ln.2.ln
1
.1
ln.2.ln
1)('
lnln
2
2
2
2
x
x
xx
xy
xuvvuy
xxxy
ln
11ln
1.1
ln.1'
)''.('
ln
=
−+=
−+=
−+=
−=