3.8-bo'lim : Giperbolik funksiyalarning hosilalari
2. \(R\left( t \right) = \tan \left( t \right) + {t^2}{\mathop{\rm csch}\nolimits} \left( t \right)\) ni farqlang.
Yechim
Bu erda sinfdagi formulalar yordamida hosila olishdan boshqa narsa qilish kerak emas.
\[\require{bbox} \bbox[2pt,border:1px solid black]{{R'\left( t \right) = {{\sec }^2}\left( t \right) + 2t{\mathop{\rm csch}\nolimits} \left( t \right) - {t^2}{\mathop{\rm csch}\nolimits} \left( t \right)\coth \left( t \right)}}\]