Asosiy tarkibga o'tish

3.4-bo'lim : Mahsulot va miqdor qoidasi

4. \(\displaystyle g\left( x \right) = \frac{{6{x^2}}}{{2 - x}}\) hosilasini topish uchun Quotient qoidasidan foydalaning.

Yechim

Bu erda ko'p narsa qilish kerak emas, bo'lak qoidasi yordamida hosila olish.

\[g'\left( x \right) = \frac{{12x\left( {2 - x} \right) - 6{x^2}\left( { - 1} \right)}}{{{{\left( {2 - x} \right)}^2}}} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{24x - 6{x^2}}}{{{{\left( {2 - x} \right)}^2}}}}}\]