Jika fungsi f(x) = 3/(2x² – 3)², turunan pertama fungsi f(x)
adalah
Penyelesaian
Fungsi fx) = 3
(2x² – 3)²
Misalkan:
u = 3
⇔u' = 0
v = (2x² – 3)²
⇔ v' = 2(2x² – 3)' × 4x = (4x² – 6) × 4x = 16x³ – 24x
Gunakan rumus turunan fungsi
f'(x) = u'(x) × v(x) + u(x) × v'(x)
(v(x))²
= 0 × (2x² – 3)² + 3 × (16x³ – 24x)
(2x² – 3)²)²
= 0 + 48x³ – 72x
(2x² – 3)⁴
= 48x –
= 48x³ – 72x
(16x⁸ – 48x⁶ –