Question-186726

Question Number 186726 by Rupesh123 last updated on 09/Feb/23

Answered by cortano12 last updated on 09/Feb/23

f^{'} (x) = \frac{3 x^{2}}{1 + \ln x^{3}} = \frac{3 x^{2}}{\ln {e x}^{3}}

f^{″} (x) = \frac{6 x . \ln {e x}^{3} - \frac{3 {e x}^{2}}{{e x}^{3}} . 3 x^{2}}{{(\ln {e x}^{3})}^{2}}

Answered by Ar Brandon last updated on 09/Feb/23

\frac{\partial}{\partial t} \int_{u (t)}^{v (t)} f (x, t) d x = \int_{u (t)}^{v (t)} \frac{\partial}{\partial t} f (x, t) d x + [f (v (t), t)] v^{'} (t) - [f (u (t), t)] u^{'} (t)