turunan dari f(x) = akar x sin x
Matematika
yudicandra47
Pertanyaan
turunan dari f(x) = akar x sin x
1 Jawaban
-
1. Jawaban Anonyme
f(x) = (√x)(sin x)
u = √x --> u' = 1/2 x^-1/2 = 1/(2√x)
v = sin x ---> v' = cos x
f(x) = uv
f'(x) = u'v + uv'
f'(x) = (1/(2√x))(sin x) + (√x)(cos x)
f'(x) = (1/(2√x)) [sin x + 2xcos x]
f'(x) = (1/(2x))(√x) [sin x + 2xcos x]