tentukan turunan pertama f(x)=3x-4/5+x
Diketahui
u = 3x - 4
v = 5 + x
u' = 3
v' = 1
Jawaban
f(x) = 3x - 4 / 5 + x
f'(x) = u'v - uv' / (v)²
f'(x) = (3)(5 + x) - (3x - 4)(1) / (5 + x)²
f'(x) = (15 + 3x) - (3x - 4) / (5 + x)²
f'(x) = 19 / (5 + x)²
f'(x) = 19 / x² + 10x + 25
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