3.6-bo'lim : Ko'rsatkichli va logarifm funksiyalarning hosilalari
6. \(\displaystyle f\left( t \right) = \frac{{1 + 5t}}{{\ln \left( t \right)}}\) ni farqlang.
Yechim
Bu erda sinfdagi formulalar yordamida hosila olishdan boshqa narsa qilish kerak emas. \[f^{\prime}\left( t \right) = \frac{{5\ln \left( t \right) - \left( {1 + 5t} \right)\left( {\frac{1}{t}} \right)}}{{{{\left[ {\ln \left( t \right)} \right]}^2}}} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{5\ln \left( t \right) - \frac{1}{t} - 5}}{{{{\left[ {\ln \left( t \right)} \right]}^2}}}}}\]