Question Number 128382 by arash sharifi last updated on 06/Jan/21
$${y}={x}^{{x}^{\mathrm{2}} } \\ $$
Commented by hknkrc46 last updated on 06/Jan/21
$$\bullet\:\boldsymbol{{x}}\:\in\:\mathbb{R}\:\Rightarrow\:\boldsymbol{{y}}\:\in\:\mathbb{R} \\ $$$$\bullet\:\boldsymbol{{x}}\:=\:\mp\mathrm{1}\:\Rightarrow\:\boldsymbol{{y}}\:=\:\mathrm{1} \\ $$$$\bullet\:\frac{\boldsymbol{{d}}}{\boldsymbol{{dx}}}\left(\boldsymbol{{y}}\right)\:=\:\boldsymbol{{x}}^{\boldsymbol{{x}}^{\mathrm{2}} } \left(\mathrm{2}\boldsymbol{{x}}\mathrm{ln}\:\boldsymbol{{x}}\:+\:\boldsymbol{{x}}\right) \\ $$$$\left.\:\left.\:\::\right)\:\:\::\right)\: \\ $$