3.8-bo'lim : Giperbolik funksiyalarning hosilalari
3. \(\displaystyle g\left( z \right) = \frac{{z + 1}}{{\tanh \left( z \right)}}\) ni farqlang.
Yechim
Bu erda sinfdagi formulalar yordamida hosila olishdan boshqa narsa qilish kerak emas.
\[\require{bbox} \bbox[2pt,border:1px solid black]{{g'\left( z \right) = \frac{{\tanh \left( z \right) - \left( {z + 1} \right){{{\mathop{\rm sech}\nolimits} }^2}\left( z \right)}}{{{{\tanh }^2}\left( z \right)}}}}\]