Ushbu muammoni hal qilish uchun biz hosilani boshlash uchun Quotient qoidasini bajarishimiz kerak. Jarayonda biz suratni farqlashda zanjir qoidasidan foydalanishimiz kerak.

Demak, hosila,

\[\frac{{dy}}{{dt}} = \frac{{3\cos \left( {3t} \right)\left( {1 + {t^2}} \right) - \sin \left( {3t} \right)\left( {2t} \right)}}{{{{\left( {1 + {t^2}} \right)}^2}}} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{3\cos \left( {3t} \right)\left( {1 + {t^2}} \right) - 2t\sin \left( {3t} \right)}}{{{{\left( {1 + {t^2}} \right)}^2}}}}}\]