Diketahui:
f(x) = (x+1)/(x-1)
Ditanyakan:
f"(x)
Jawab:
cari f'(x)
misal
x+1 = u maka u' = 1
x-1 = v maka v' = 1
f'(x) = (u' v - v' u)/v²
= (1(x-1)-1(x+1))/(x-1)²
= (x-1-x-1)/(x-1)²
= -2/(x-1)²
= -2(x-1)-²
cari f"(x)
misal x-1= a
maka a' = 1
f"(x) = (-2)(-2)(1)(x-1)^(-2-1)
= 4(x-1)-³ (C)
Mapel: Matematika
Kelas: 11
Materi: Turunan
Penjelasan dengan langkah-langkah:
Semoga membantu
" Life is not a problem to be solved but a reality to be experienced! "
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Diketahui:
f(x) = (x+1)/(x-1)
Ditanyakan:
f"(x)
Jawab:
cari f'(x)
misal
x+1 = u maka u' = 1
x-1 = v maka v' = 1
f'(x) = (u' v - v' u)/v²
= (1(x-1)-1(x+1))/(x-1)²
= (x-1-x-1)/(x-1)²
= -2/(x-1)²
= -2(x-1)-²
cari f"(x)
misal x-1= a
maka a' = 1
f"(x) = (-2)(-2)(1)(x-1)^(-2-1)
= 4(x-1)-³ (C)
Mapel: Matematika
Kelas: 11
Materi: Turunan
Jawab:
Penjelasan dengan langkah-langkah:
Semoga membantu