Ushbu muammoni hal qilish uchun biz hosilani boshlash uchun mahsulot qoidasini bajarishimiz kerak. Jarayonda biz ikkinchi atamani farqlashda zanjir qoidasidan foydalanishimiz kerak.

Demak, hosila,

\[\begin{align*}h\left( t \right) & = {t^6}\,{\left( {5{t^2} - t} \right)^{\frac{1}{2}}}\\ h'\left( t \right) & = 6{t^5}{\left( {5{t^2} - t} \right)^{\frac{1}{2}}} + {t^6}\left( {\frac{1}{2}} \right){\left( {5{t^2} - t} \right)^{ - \,\,\frac{1}{2}}}\left( {10t - 1} \right) = \require{bbox} \bbox[2pt,border:1px solid black]{{6{t^5}{{\left( {5{t^2} - t} \right)}^{\frac{1}{2}}} + \frac{1}{2}{t^6}\left( {10t - 1} \right){{\left( {5{t^2} - t} \right)}^{ - \,\,\frac{1}{2}}}}}\end{align*}\]