sertakan penyelesaiannya
turunan
-
f (x) = (3x² + 4)⁵(2 - 6x)³
misal :
u = (3x² + 4)⁵ maka,
u' = 5 . (3x² + 4)⁵⁻¹ . (6x)
u' = 30x (3x² + 4)⁴
v = (2 - 6x)³ maka,
v' = 3 . (2 - 6x)³⁻¹ . (-6)
v' = -18 (2 - 6x)²
shg,
f' (x) = u'v + uv'
f' (x) = 30x (3x² + 4)⁴(2 - 6x)³ + (3x² + 4)⁵ (-18 (2 - 6x)²)
f' (x) = (3x² + 4)⁴(2 - 6x)² [30x (2 - 6x) - 18(3x² + 4)]
f' (x) = (3x² + 4)⁴(2 - 6x)² [60x - 180x² - 54x² - 72]
f' (x) = (3x² + 4)⁴(2 - 6x)² [60x - 234x² - 72]
lihat bahwa (2 - 6x)² = 4(1 - 3x)², maka :
f' (x) = 4(3x² + 4)⁴(1 - 3x)² [60x - 234x² - 72]
f' (x) = 24(3x² + 4)⁴(1 - 3x)² [-39x² + 10x - 12]
OPSI C
[answer.2.content]
