Page 94 - Bahan Ajar Matematika Dasar
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88
CONTOH:
Tentukan turunan kedua dari =
PENYELESAIAN:
2
− , < 0
= =
2
, ≥ 0
−2 , < 0
′
=
2 , > 0
Di x = 0,
; (0) ; (0)
( ) = lim ( ) = lim
:
_
→0 − ;0 →0 + ;0
2
2
; ;0 ;0
= lim = lim
→0 − ;0 →0 +
= lim (− ) = lim ( )
→0 − →0 +
= 0 = 0
′
Karena ′ 0 = 0 = ′ 0 , maka 0 = 0
; :
−2 , < 0
Jadi ′ = 0, = 0
2 , > 0
−2 , < 0
=
2 , > 0
′′ = −2, < 0 ′′ = 2, > 0
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