Turunan fungsi y=x²-x+1 dibagi x²+1
Matematika
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Pertanyaan
Turunan fungsi y=x²-x+1 dibagi x²+1
1 Jawaban
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1. Jawaban 2idha
y=(x^2-x+1)/(x^2+1)
dy/dx=y'=((2x-1)(x^2+1)-(x^2-x+1)(2x))/(x^2+1)^2
=((2x3+2x-x2-1)-(2x3-2x2+2x))/(x2+1)2
= (x2-1)/(x2+1)2