tolong ya kk. terima kasih
Matematika
rani1261
Pertanyaan
tolong ya kk. terima kasih
1 Jawaban
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1. Jawaban munafilkhofa
f(x) = (x² + x)√5x + 1
f(x) = (x² + x)(5x + 1)^1/2
u = x² + x
u' = 2x
v = (5x + 1)^1/2
v' = (5/2x + 1/2)^-1/2
f'(x) = u'v + uv'
= 2x.(5x + 1)^1/2 + (x² + x).(5/2x + 1/2)^-1/2
f'(3) = 2(3).(5(3) + 1)^1/2 + ((3)² + 3).(5/2(3) + 1/2)^-1/2
= 6.(16)^1/2 + (12).(16/2)^-1/2
= 6(4²)^1/2 + 12(4²/2)^-1/2
= 24 + 24
= 48