Ushbu muammoni hal qilish uchun biz hosilani boshlash uchun Quotient qoidasini bajarishimiz kerak. Bu jarayonda biz surat va maxrajni farqlashda zanjir qoidasidan foydalanishimiz kerak bo'ladi.

Demak, hosila,

\[\require{bbox} \bbox[2pt,border:1px solid black]{{K'\left( x \right) = \frac{{ - 2{{\bf{e}}^{ - 2x}}\left( {x + \tan \left( {12x} \right)} \right) - \left( {1 + {{\bf{e}}^{ - 2x}}} \right)\left( {1 + 12{{\sec }^2}\left( {12x} \right)} \right)}}{{{{\left( {x + \tan \left( {12x} \right)} \right)}^2}}}}}\]