Jika f(x) = sinx / 1+cosx maka f'(x) =....
Matematika
Nikolaevich
Pertanyaan
Jika f(x) = sinx / 1+cosx maka f'(x) =....
1 Jawaban
-
1. Jawaban rivaldiarya24
U = sin x
U' = cos x
v = 1 + cos x
v' = -sin x
f'(x) = (VU' - UV') / V^2
=(1+cos x)(cos x) - (sin x)(-sin x) /(1+cos x)^2
= cos x + cos^2 x + sin^2 x / (1+cos)^2
= cos x + 1 / (1+ cos)^2
= 1/ 1+cos
semoga membantu