turunan pertama dari f(x) 1/(9x-3)² adalah.....

Bab Differensial
Matematika SMA Kelas XI

f(x) = 1/(9x - 3)²
f'(x) = (0 . (9x - 3)² - 1 . 2 . (9x - 3) . 9) / ((9x - 3)²)²
f'(x) = (54 - 162x) / (9x - 3)⁴

Turunan Fungsi Aljabar.
Kelompok wajib kelas XI kurikulum 2013 revisi 2016.

f(x) = [u(x)]ⁿ → f'(x) = n [u(x)]ⁿ⁻¹ u'(x)
1 / aⁿ = a⁻ⁿ

f(x) = 1 / (9x - 3)² = (9x - 3)⁻²
f'(x) = -2(9x - 3)⁻³ (9)
       = -18 / (9x - 3)³