3.4-bo'lim : Mahsulot va miqdor qoidasi
5. \(\displaystyle R\left( w \right) = \frac{{3w + {w^4}}}{{2{w^2} + 1}}\) hosilasini topish uchun Quotient qoidasidan foydalaning.
Yechim
Bu erda ko'p narsa qilish kerak emas, bo'lak qoidasi yordamida hosila olish.
\[R'\left( w \right) = \frac{{\left( {3 + 4{w^3}} \right)\left( {2{w^2} + 1} \right) - \left( {3w + {w^4}} \right)\left( {4w} \right)}}{{{{\left( {2{w^2} + 1} \right)}^2}}} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{4{w^5} + 4{w^3} - 6{w^2} + 3}}{{{{\left( {2{w^2} + 1} \right)}^2}}}}}\]