Carilah turunan fungsi f(x)=(x^3+4x)^7

Materi : Fungsi turunan (Deferensial)
Kelas : XI

f(x) = (x³ + 4x)^6

→ Gunakan Rumus :
✓. f(x)^n = n.f(x)^n-1 . f'(x)

#Sehingga =
f(x) = (x³ + 4x)^6
f'(x) = 6.(x³ + 4x)^6-1 . 3x² + 4
f'(x) = 18x²+24(x³+4x)^5 → Meeupakan turunanya

tuRUNan

y = (f(x))^n
y' = n(f(x))^(n - 1) . f'(x)

y = (x³ + 4x)^7
y' = 7(x³ + 4x)^6 . (3x² + 4)
y' = (21x² + 28)(x³ + 4x)^6 ✔