20. f(x) = 10. (x)^(5/3)
f'(x) = 10 (5/3). (x)^((5/3)-1)
= (50/3). x^(2/3)
= (50/3). ³√x²
21. f(x) = (2x+3)/(x-1)
misal
*u=2x+3 maka, u'=2
*v=x-1 maka, v'=1
f'(x) = (u' v - v' u)/v²
= (2(x-1)-1(2x+3))/(x-1)²
= (2x-2-2x-3)/(x-1)²
= -5/(x-1)²
Mapel: Matematika
Kelas: 11
Materi: Turunan
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20. f(x) = 10. (x)^(5/3)
f'(x) = 10 (5/3). (x)^((5/3)-1)
= (50/3). x^(2/3)
= (50/3). ³√x²
21. f(x) = (2x+3)/(x-1)
misal
*u=2x+3 maka, u'=2
*v=x-1 maka, v'=1
f'(x) = (u' v - v' u)/v²
= (2(x-1)-1(2x+3))/(x-1)²
= (2x-2-2x-3)/(x-1)²
= -5/(x-1)²
Mapel: Matematika
Kelas: 11
Materi: Turunan