77
Örnek 15:
y = f ( x ) = x6 + 5
f ′ ( x ) = 6 x 5 = 0 → x0 = 0
→
5 ′ f ( x) = 6x
→
f ′ ( 0) = 0
f ′′ ( x ) = 30 x 4
→
f ′′ ( 0 ) = 0
3 ′′′ f ( x ) = 120 x
→
f ′′′ ( 0 ) = 0
f
( 4)
( x ) = 360 x
f
( 5)
( x ) = 720 x
f ( 6) ( x ) = 720 x0 = 0 , y = 5
2
f
( 4)
( 0) = 0
→
f
( 5)
( 0) = 0
→
f ( 6) ( 0 ) = 720 > 0
→
noktasında minimum var.