Question Number 75838 by Crabby89p13 last updated on 18/Dec/19
Commented by MJS last updated on 19/Dec/19
![testing all derivates ⇒ (d/dx)[(x^(12) /(6(2x^4 +3x^2 +1)^3 ))]=...=((3x^(13) +2x^(11) )/((2x^4 +3x^2 +1)^4 )) ⇒ answer is (2)](https://www.tinkutara.com/question/Q75875.png)
$$\mathrm{testing}\:\mathrm{all}\:\mathrm{derivates} \\ $$$$\Rightarrow \\ $$$$\frac{{d}}{{dx}}\left[\frac{{x}^{\mathrm{12}} }{\mathrm{6}\left(\mathrm{2}{x}^{\mathrm{4}} +\mathrm{3}{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{3}} }\right]=…=\frac{\mathrm{3}{x}^{\mathrm{13}} +\mathrm{2}{x}^{\mathrm{11}} }{\left(\mathrm{2}{x}^{\mathrm{4}} +\mathrm{3}{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{4}} } \\ $$$$\Rightarrow\:\mathrm{answer}\:\mathrm{is}\:\left(\mathrm{2}\right) \\ $$