3.4-bo'lim : Mahsulot va miqdor qoidasi
1. \(f\left( t \right) = \left( {4{t^2} - t} \right)\left( {{t^3} - 8{t^2} + 12} \right)\) hosilasini topish uchun Mahsulot qoidasidan foydalaning.
Yechim
Bu erda mahsulot qoidasidan foydalanib lotinni olishdan boshqa ko'p ish yo'q.
\[f'\left( t \right) = \left( {8t - 1} \right)\left( {{t^3} - 8{t^2} + 12} \right) + \left( {4{t^2} - t} \right)\left( {3{t^2} - 16t} \right) = 20{t^4} - 132{t^3} + 24{t^2} + 96t - 12\]E'tibor bering, biz "oddiyroq" javob olish uchun hamma narsani ko'paytirdik.