Turunan daru 1/(x+3)5 adalah?
Matematika
Nandhaa21
Pertanyaan
Turunan daru 1/(x+3)5 adalah?
1 Jawaban
-
1. Jawaban Anonyme
Kelas 11 Matematika
Bab Turunan
^ = pangkat
u = 1
u' = 0
v = (x + 3)^5
v' = 5 (x + 3)^4
f(x) = 1/(x + 3)^5
f'(x) = (u' v - u v')/v²
f'(x) = (0 . (x + 3)^5 - 1 . 5 . (x + 3)^4)/((x + 3)^5)²
f'(x) = (0 - 5 (x + 3)^4)/(x + 3)^10
f'(x) = -5 . (x + 3)^4/(x + 3)^10
f'(x) = -5/(x + 3)^6