jawaban terlampir..
semoga membantu
Nomor 22
f(x) = (x + 1)(5x + 6)
u = x + 1
u' = 1
v = 5x + 6
v' = 5
f'(x) = u'v + uv'
= 1(5x + 6) + (x + 1)5
= 5x + 6 + 5x + 5
= 10x + 11
jawaban D
Nomor 23
f(x) = 1 - 1/x - 1/x²
= (x² - x - 1) / x²
u = x² - x - 1
u' = 2x - 1
v = x²
v' = 2x
f'(x) = (u'v - uv') / v²
= ((2x - 1)x² - (x² - x - 1)2x) / (x²)²
= (2x³ - x² - 2x³ + 2x² + 2x) / x^4
= (x² + 2x) / x^4
= (x + 2) / x³
= x/x³ + 2/x³
= 1/x² + 2/x³
jawaban B
Mapel : Matematika
Bab : Turunan fungsi aljabar
Kode : 11.2.9
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jawaban terlampir..
semoga membantu
Nomor 22
f(x) = (x + 1)(5x + 6)
u = x + 1
u' = 1
v = 5x + 6
v' = 5
f'(x) = u'v + uv'
= 1(5x + 6) + (x + 1)5
= 5x + 6 + 5x + 5
= 10x + 11
jawaban D
Nomor 23
f(x) = 1 - 1/x - 1/x²
= (x² - x - 1) / x²
u = x² - x - 1
u' = 2x - 1
v = x²
v' = 2x
f'(x) = (u'v - uv') / v²
= ((2x - 1)x² - (x² - x - 1)2x) / (x²)²
= (2x³ - x² - 2x³ + 2x² + 2x) / x^4
= (x² + 2x) / x^4
= (x + 2) / x³
= x/x³ + 2/x³
= 1/x² + 2/x³
jawaban B
Mapel : Matematika
Bab : Turunan fungsi aljabar
Kode : 11.2.9