3.9-bo'lim : Zanjir qoidasi
19. \(g\left( w \right) = \cos \left( {3w} \right)\sec \left( {1 - w} \right)\) ni farqlang.
Yechim
Ushbu muammoni hal qilish uchun biz hosilani boshlash uchun mahsulot qoidasini bajarishimiz kerak. Jarayonda biz har bir atamani farqlashda zanjir qoidasidan foydalanishimiz kerak.
Demak, hosila,
\[\begin{align*}g'\left( w \right) & = - \sin \left( {3w} \right)\left( 3 \right)\sec \left( {1 - w} \right) + \cos \left( {3w} \right)\sec \left( {1 - w} \right)\tan \left( {1 - w} \right)\left( { - 1} \right)\\ & = \require{bbox} \bbox[2pt,border:1px solid black]{{ - 3\sin \left( {3w} \right)\sec \left( {1 - w} \right) - \cos \left( {3w} \right)\sec \left( {1 - w} \right)\tan \left( {1 - w} \right)}}\end{align*}\]