3.5-bo'lim : Trig funksiyalarining hosilalari
6. \(f\left( w \right) = \tan \left( w \right)\sec \left( w \right)\) ni farqlang.
Yechim
Bu erda hosila qoidasini talab qiladigan lotinni olishdan boshqa ko'p narsa qilish kerak emas.
\[f'\left( w \right) = \left[ {{{\sec }^2}\left( w \right)} \right]\sec \left( w \right) + \tan \left( w \right)\left[ {\sec \left( w \right)\tan \left( w \right)} \right] = \require{bbox} \bbox[2pt,border:1px solid black]{{{{\sec }^3}\left( w \right) + \sec \left( w \right){{\tan }^2}\left( w \right)}}\]