3.4-bo'lim : Mahsulot va miqdor qoidasi
6. \(\displaystyle f\left( x \right) = \frac{{\sqrt x + 2x}}{{7x - 4{x^2}}}\) hosilasini topish uchun Quotient qoidasidan foydalaning.
Yechim
Bu erda ko'p narsa qilish kerak emas, bo'lak qoidasi yordamida hosila olish.
\[f'\left( x \right) = \frac{{\left( {{\textstyle{1 \over 2}}{x^{ - \,\,\frac{1}{2}}} + 2} \right)\left( {7x - 4{x^2}} \right) - \left( {{x^{\frac{1}{2}}} + 2x} \right)\left( {7 - 8x} \right)}}{{{{\left( {7x - 4{x^2}} \right)}^2}}}\]