Question Number 20850 by j.masanja06@gmail.com last updated on 04/Sep/17
$${given}\:{that}\:{y}={log}\sqrt{\frac{\mathrm{1}+{cos}^{\mathrm{2}} {x}}{\mathrm{1}−{e}^{\mathrm{2}{x}} }},{find} \\ $$$$\frac{{dy}}{{dx}} \\ $$
Answered by Hitler last updated on 05/Sep/17
$$\frac{−{sinxcosx}+\left(\mathrm{1}+{sinxcosx}+{cos}^{\mathrm{2}} {x}\right){e}^{\mathrm{2}{x}} }{{ln}\mathrm{10}\left(\mathrm{1}+{cos}^{\mathrm{2}} {x}\right)\left(\mathrm{1}−{e}^{\mathrm{2}{x}} \right)} \\ $$