3.7-bo'lim : Teskari trig funksiyalarining hosilalari
2. \(g\left( t \right) = {\csc ^{ - 1}}\left( t \right) - 4{\cot ^{ - 1}}\left( t \right)\) ni farqlang.
Yechim
Bu erda sinfdagi formulalar yordamida hosila olishdan boshqa narsa qilish kerak emas.
\[\require{bbox} \bbox[2pt,border:1px solid black]{{g'\left( t \right) = - \frac{1}{{\left|t\right|\sqrt {{t^2} - 1} }} + \frac{4}{{{t^2} + 1}}}}\]