3.7-bo'lim : Teskari trig funksiyalarining hosilalari
4. \(f\left( w \right) = \sin \left( w \right) + {w^2}{\tan ^{ - 1}}\left( w \right)\) ni farqlang.
Yechim
Bu erda sinfdagi formulalar yordamida hosila olishdan boshqa narsa qilish kerak emas.
\[\require{bbox} \bbox[2pt,border:1px solid black]{{f'\left( w \right) = \cos \left( w \right) + 2w{{\tan }^{ - 1}}\left( w \right) + \frac{{{w^2}}}{{1 + {w^2}}}}}\]